document.write( "Question 148911: Simplfy. -3(-7/a+1/6)+5/2(3-a/2)
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document.write( "Note: / indicates a fraction.
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document.write( "i just can't seem to figure this out.
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Algebra.Com's Answer #109228 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Simplify: \n" ); document.write( "-3(-7/a+1/6)+5/2(3-a/2) \n" ); document.write( ". \n" ); document.write( "Expand it out the left term (by distributing the -3 to terms inside the parenthesis): \n" ); document.write( "(21/a-3/6)+5/2(3-a/2) \n" ); document.write( "(21/a-1/2)+5/2(3-a/2) \n" ); document.write( ". \n" ); document.write( "Expand it out right term (by distributing the 5/2 to terms inside the parenthesis): \n" ); document.write( "(21/a-1/2)+(15/2-5a/4) \n" ); document.write( "(21/a) - 1/2 + 15/2 - (5a/4) \n" ); document.write( ". \n" ); document.write( "Determine a common denominator (say 4a): \n" ); document.write( "(84/4a) - 2a/4a + 30a/4a - (20a/4a) \n" ); document.write( ". \n" ); document.write( "Combine the fractions: \n" ); document.write( "(84-2a+30a-20a)/4a \n" ); document.write( "(84+8a)/4a \n" ); document.write( ". \n" ); document.write( "Reduce (by dividing numerator and denominator by 4): \n" ); document.write( "(21+2a)/a\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |