document.write( "Question 163954: Can you please help me solve this problem?\r
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document.write( "-3 - 4 (t-5) = -2(t+3) + 11\r
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Algebra.Com's Answer #120797 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! if i understand this correctly, it is \n" ); document.write( "-3 - 4(t-5) = -2(t+3) + 11 \n" ); document.write( "there are different ways to approach it, but this way works on this equation. \n" ); document.write( "----- \n" ); document.write( "first multiply out to remove the parentheses. \n" ); document.write( "-3 -4t + 20 = -2t - 6 + 11 \n" ); document.write( "combine like terms. \n" ); document.write( "-4t + 17 = -2t + 5 \n" ); document.write( "add 4t to both sides of the equation. \n" ); document.write( "17 = 2t + 5 \n" ); document.write( "subtract 5 from both sides of the equation. \n" ); document.write( "12 = 2t \n" ); document.write( "divide both sides of the equation by 2. \n" ); document.write( "t = 6 \n" ); document.write( "----- \n" ); document.write( "to prove, substitute in original equation \n" ); document.write( "----- \n" ); document.write( "-3 - 4(6-5) = -2(6+3) + 11 \n" ); document.write( "simplify expressions within parentheses. \n" ); document.write( "-3 -4(1) = -2(9) + 11 \n" ); document.write( "perform operations to remove parentheses. \n" ); document.write( "-3 -4 = -18 + 11 \n" ); document.write( "combine like terms \n" ); document.write( "-7 = -7 \n" ); document.write( "----- \n" ); document.write( "answer is proven correct. \n" ); document.write( "answer is t = 6 \n" ); document.write( "-----\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |