document.write( "Question 389079: What value of m makes the equation below TRUE?
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document.write( " 6m-8=2(m+5)\r
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Algebra.Com's Answer #275575 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! What value of m makes the equation below TRUE? \n" ); document.write( " 6m-8=2(m+5)\r \n" ); document.write( "\n" ); document.write( "6m-8=2(m+5)\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "6m-8=2m+10\r \n" ); document.write( "\n" ); document.write( "Since 2m contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2m from both sides. \n" ); document.write( "6m-8-2m=10\r \n" ); document.write( "\n" ); document.write( "Since 6m and -2m are like terms, add -2m to 6m to get 4m. \n" ); document.write( "4m-8=10\r \n" ); document.write( "\n" ); document.write( "Since -8 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 8 to both sides. \n" ); document.write( "4m=8+10\r \n" ); document.write( "\n" ); document.write( "Add 10 to 8 to get 18. \n" ); document.write( "4m=18\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 4. \n" ); document.write( "(4m)/(4)=(18)/(4)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "m=(18)/(4)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "m=(9)/(2) \n" ); document.write( "Answer= m= 9/2 or, when put into a proper fraction, 4 1/2 (or 4.5) \n" ); document.write( " \n" ); document.write( " |