document.write( "Question 952654: -4+h/3 = h+2 \n" ); document.write( "
Algebra.Com's Answer #581781 by diazabdulm(7)\"\" \"About 
You can put this solution on YOUR website!
-4+h/3 = h+2\r
\n" ); document.write( "\n" ); document.write( "I want to get rid of the fractions so what do I do: I multiply the whole equation by the GCF of the denominators of the fractions. See how it works:\r
\n" ); document.write( "\n" ); document.write( "4/8 + 3/2 x = 8\r
\n" ); document.write( "\n" ); document.write( "What is the GCF of 8 and 2? It's 2 so this is how it should look:\r
\n" ); document.write( "\n" ); document.write( "2(4/8 + 3/2 x) = 2(8)\r
\n" ); document.write( "\n" ); document.write( "The parenthesis simply means that 2 is being multiplied to everything inside of it. So 2 times 4/8 + 2 times 3/2, etc. In this case, it is like this\r
\n" ); document.write( "\n" ); document.write( "-4+h/3 = h+2\r
\n" ); document.write( "\n" ); document.write( "So since there is only one denominator, we multiply everything by that number.\r
\n" ); document.write( "\n" ); document.write( "3(-4+h/3) = 3(h+2)\r
\n" ); document.write( "\n" ); document.write( "Simplify that and get:\r
\n" ); document.write( "\n" ); document.write( "-4 + h = 3h + 6\r
\n" ); document.write( "\n" ); document.write( "Which is:\r
\n" ); document.write( "\n" ); document.write( "-4 = 2h + 6\r
\n" ); document.write( "\n" ); document.write( "Which in simplified form is:\r
\n" ); document.write( "\n" ); document.write( "-10 = 2h\r
\n" ); document.write( "\n" ); document.write( "Which is: \r
\n" ); document.write( "\n" ); document.write( "-5 = h\r
\n" ); document.write( "\n" ); document.write( "To check if this method works, we will substitute our answer back into the problem.\r
\n" ); document.write( "\n" ); document.write( "-5 = h\r
\n" ); document.write( "\n" ); document.write( "-4 + h/3 = h + 2\r
\n" ); document.write( "\n" ); document.write( "(-4 + -5)/3 = -5 + 2\r
\n" ); document.write( "\n" ); document.write( "-9 / 3 = -3\r
\n" ); document.write( "\n" ); document.write( "-3 = -3 \r
\n" ); document.write( "\n" ); document.write( "So it is true. \r
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