document.write( "Question 1161828: Which of the following would eliminate the variable on the left side of the given equation?\r
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\n" ); document.write( "\n" ); document.write( "36 - 19w = -6w + 41\r
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Algebra.Com's Answer #785453 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
start with 3 - 19w = -6w + 41
\n" ); document.write( "add 19w to both sides of the equation to get:
\n" ); document.write( "36 - 19w + 19w = -6w + 41 + 19w
\n" ); document.write( "combine like terms to ge:
\n" ); document.write( "36 = 13w + 41
\n" ); document.write( "you have just eliminated the variable from the left side of the equation.
\n" ); document.write( "subtract 41 from both sides of the equation to get:
\n" ); document.write( "36 - 41 = 13w + 41 - 41
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "-5 = 13w
\n" ); document.write( "you have just eliminated all constants from the right side of the equqtion.
\n" ); document.write( "divide both sides of the equation by 13 to get:
\n" ); document.write( "-5/13 = 13w/13
\n" ); document.write( "simplify to get:
\n" ); document.write( "-5/13 = w
\n" ); document.write( "you have just solved for w.
\n" ); document.write( "replace w with -5/13 and evaluate the original equation.
\n" ); document.write( "you will get:
\n" ); document.write( "36 - 19 * -5/13 = -6 * -5/13 + 41
\n" ); document.write( "multiply both sides of this equation by 13 to get:
\n" ); document.write( "36*13 - 19 * -5 = -6 * -5 + 41 * 13
\n" ); document.write( "simplify to get:
\n" ); document.write( "468 + 95 = 30 + 533
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "563 = 563
\n" ); document.write( "this confirms the solution is correct.
\n" ); document.write( "this took it a lot further than you needed to go.
\n" ); document.write( "your solution to the problem as stated would be:
\n" ); document.write( "add 192 to both sides of the equation.
\n" ); document.write( "that removes the variable from the left side of the equation and moves it to the right side of the equation.
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