document.write( "Question 336577: This seems like it would be so obvious but it's giving me a hard time...\r
\n" ); document.write( "\n" ); document.write( "Can you help me with adding \"abs%283pi+-7%29\" and \"abs%287pi+-26%29\"\r
\n" ); document.write( "\n" ); document.write( "I don't see how it can't be \"10pi%2B33\" \r
\n" ); document.write( "\n" ); document.write( "Please help.
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Algebra.Com's Answer #241220 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
\"abs%283pi+-7%29\"\"%22%22%2B%22%22\"\"abs%287pi+-26%29\"
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document.write( "To remove absolute value bars, you\r\n" );
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document.write( "1. Decide whether what is between the absolute value bars is a positive\r\n" );
document.write( "number or a negative number.\r\n" );
document.write( "2. If it is a positive number, simply replace the absolute value bars by\r\n" );
document.write( "parentheses.\r\n" );
document.write( "3. If it is a negative number, replace the absolute value bars by  \r\n" );
document.write( "parentheses BUT PUT A - SIGN IN FRONT.\r\n" );
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document.write( "Between the absolute value bars of \"abs%283pi+-7%29\", we have\r\n" );
document.write( "\"3pi+-7\".  We know that \"pi\" is approximately 3.14, so we\r\n" );
document.write( "substitute 3.14 for \"pi\" and see whether that is a positive number \r\n" );
document.write( "or a negative number:\r\n" );
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document.write( "\"3%283.14%29+-7=9.42-7=2.42\".  That is a positive number.  Now we don't\r\n" );
document.write( "want to use 2.42 because that is only approximate.  We just did that\r\n" );
document.write( "to find out whether \"3pi+-7\" is positive or negative.  We found out\r\n" );
document.write( "that it is positive. So step 2 applies:\r\n" );
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document.write( "We just replace the absolute value bars by parentheses and so far we have:\r\n" );
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document.write( "\"%283pi+-7%29\"\"%22%22%2B%22%22\"\"abs%287pi+-26%29\"\r\n" );
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document.write( "Between the absolute value bars of \"abs%287pi+-26%29\", we have\r\n" );
document.write( "\"7pi-26\".  We know that \"pi\" is approximately 3.14, so we\r\n" );
document.write( "substitute 3.14 for \"pi\" and see whether that is a positive number \r\n" );
document.write( "or a negative number:\r\n" );
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document.write( "\"7%283.14%29-26=21.98-26=-4.02\".  That is a negative number.  Now we don't\r\n" );
document.write( "want to use -4.02 because that is only approximate.  We just did that\r\n" );
document.write( "to find out whether \"7pi+-26\" is positive or negative.  We found out\r\n" );
document.write( "that it is negative. So step 3 applies:\r\n" );
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document.write( "We replace the absolute value bars by parentheses BUT WE PUT A - SIGN IN \r\n" );
document.write( "FRONT.\r\n" );
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document.write( "\"%283pi+-7%29\"\"%22%22%2B%22%22\"\"-%287pi+-26%29\"\r\n" );
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document.write( "To keep two signs from coming together, we put brackets around the\r\n" );
document.write( "second - sign and the parentheses:\r\n" );
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document.write( "\"%283pi+-7%29\"\"%22%22%2B%22%22\"\"%22%5B%22\"\"-%287pi+-26%29\"\"%22%5D%22\"\r\n" );
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document.write( "Now we remove the parentheses inside the brackets:\r\n" );
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document.write( "\"%283pi+-7%29\"\"%22%22%2B%22%22\"\"%22%5B%22\"\"-7pi+%2B26\"\"%22%5D%22\"\r\n" );
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document.write( "Now we remove the parentheses and the bracket:\r\n" );
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document.write( "\"3pi+-7-7pi+%2B26\"\r\n" );
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document.write( "Collect like terms:\r\n" );
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document.write( "\"-4pi%2B19\"\r\n" );
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document.write( "or so it won't begin with a -, make it\r\n" );
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document.write( "\"19-4pi\"\r\n" );
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document.write( "Edwin
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