document.write( "Question 50678: simplify:\r
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document.write( "-9(-6+2)-7{3+2(8+6)}\r
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document.write( "mike \n" );
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Algebra.Com's Answer #33753 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! simplify: -9(-6+2)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "Remember PE(MD)(AS)\r\n" ); document.write( "\r\n" ); document.write( "1. P. P is for \"parentheses\", but that includes all grouping symbols,\r\n" ); document.write( " parentheses, brackets and braces. Complete all operations inside\r\n" ); document.write( " the innermost pair of grouping symbols first. (While working \r\n" ); document.write( " inside a pair of grouping symbols, follow the order of operations \r\n" ); document.write( " in the following steps)\r\n" ); document.write( "\r\n" ); document.write( "2. E. Complete all exponents \r\n" ); document.write( "\r\n" ); document.write( "3. (MD). Complete all multiplications or divisions as you come to\r\n" ); document.write( " them left to right. Neither multiplication nor division \r\n" ); document.write( " has any priority over the other, except \"left before right\". \r\n" ); document.write( "\r\n" ); document.write( "4. (AS). Complete all additions or subtractions as you come to\r\n" ); document.write( " them left to right. Neither addition nor subtraction \r\n" ); document.write( " has any priority over the other, except \"left before right\". \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-9(-6+2)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "Look for the first set of grouping symbols going left to right.\r\n" ); document.write( "I will color them red:\r\n" ); document.write( "\r\n" ); document.write( "-9(-6+2)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "We do what's inside. The only operation is addition -6+2, so we\r\n" ); document.write( "replace -6+2 by its result which is -4.\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "Now there are no operations left to do inside the ( ), so we look \r\n" ); document.write( "for the next pair of grouping symbols going left to right, which I\r\n" ); document.write( "will color red.\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "These are the braces { }. Now while working inside these braces we\r\n" ); document.write( "start over with the order of operations. We look for a pair of grouping \r\n" ); document.write( "symbols within this pair of grouping symbols. I will color these blue.\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{3+2(8+6)}\r\n" ); document.write( "\r\n" ); document.write( "So we do what's inside the blue ( ) first. The only operation is the\r\n" ); document.write( "addition 8+6, so we replace 8+6 by its result which is 14.\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{3+2(14)}\r\n" ); document.write( "\r\n" ); document.write( "Now there are no operations left to do inside the ( ), and there are\r\n" ); document.write( "no more grouping symbols inside the { }, so we look for exponents within\r\n" ); document.write( "the { }. There are none, so we look for multiplications or divisions.\r\n" ); document.write( "We find the multiplication 2(14). So we replace 2(14) by its result, 28\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{3+28}\r\n" ); document.write( "\r\n" ); document.write( "Now the only operation within the { } is the addition 3+28, so we\r\n" ); document.write( "replace 3+28 by 31\r\n" ); document.write( "\r\n" ); document.write( "-9(-4)-7{31}\r\n" ); document.write( "\r\n" ); document.write( "Now there are no operations left in either pair of grouping symbols.\r\n" ); document.write( "\r\n" ); document.write( "There are no exponents, so we look for multiplications and divisions\r\n" ); document.write( "going left to right. The first one we see is -9(-4), so we replace \r\n" ); document.write( "-9(-4) by the result 36.\r\n" ); document.write( "\r\n" ); document.write( "36-7{31}\r\n" ); document.write( "\r\n" ); document.write( "There are no grouping symbols with any operations within them. There are\r\n" ); document.write( "no exponents, so we again look for multiplications going left to right.\r\n" ); document.write( "We find the multiplication 7{31} and replace it by its result 217.\r\n" ); document.write( "\r\n" ); document.write( "36-217\r\n" ); document.write( "\r\n" ); document.write( "Then finally, with only one operation left, the subtraction 36-217, we get\r\n" ); document.write( "as our final answer\r\n" ); document.write( "\r\n" ); document.write( "-181\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |