document.write( "Question 160819: what is the answer to 2(15 - 7g) = 3[ g + 2 - 3(2g - 1)] \n" ); document.write( "
Algebra.Com's Answer #118564 by gonzo(654)\"\" \"About 
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problem is: 2*(15-7*g) = 3*(g+2-3*(2*g-1))
\n" ); document.write( "removing left side equation parentheses and right side equation inner parentheses
\n" ); document.write( "30 - 14*g = 3*(g + 2 - 6*g + 3)
\n" ); document.write( "removing outer parentheses from right side equation
\n" ); document.write( "30 - 14*g = 3*g + 6 - 18*g + 9
\n" ); document.write( "combining like terms on both sides of equation
\n" ); document.write( "30 - 14*g = 15 - 15*g
\n" ); document.write( "adding 15*g to both sides of equation and subtracting 30 from both sides of the equation
\n" ); document.write( "15*g - 14*g = 15 - 30
\n" ); document.write( "combining like terms on both sides of the equation
\n" ); document.write( "g = -15
\n" ); document.write( "answer is g = -15
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\n" ); document.write( "original equation
\n" ); document.write( "2*(15-7*g) = 3*(g+2-3*(2*g-1)
\n" ); document.write( "replacing g with -15 in original equation
\n" ); document.write( "2*(15-7*(-15) = 3*((-15)+2 - 3*(2*(-15)-1)
\n" ); document.write( "removing parenthese from both sides of equation
\n" ); document.write( "30 - 2*7*(-15) = 3*(-15)+3*2 - 3*3*2*(-15)-3*3*(-1)
\n" ); document.write( "doing arithmetic
\n" ); document.write( "30 - (-210) = -45 + 6 - (-270) - (-9)
\n" ); document.write( "240 = -45 + 6 + 270 + 9
\n" ); document.write( "240 = 285 - 45
\n" ); document.write( "240 = 240
\n" ); document.write( "substituting results in original equation is good.
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\n" ); document.write( "answer is g = -15
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