SOLUTION: Solve the equation and check the solution. Express your answer in simplest terms using integers or fractions. -4 [3-(a+5)]+4=6 (6+a)

Question 1015889: Solve the equation and check the solution. Express your answer in simplest terms using integers or fractions.
-4 [3-(a+5)]+4=6 (6+a)
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
-4(3-(a+5))+4=6(6+a)
-4(3-a-5)+4=36+6a
-4(-2-a)+4=36+6a
8+4a+4=36+6a
4a+12=6a+36 . Subtract 4a from each side.
12=2a+36 . Subtract 35 from each side.
-24=2a . Divide each side by 2
-12=a
.
CHECK:
-4(3-(a+5))+4=6(6+a)
-4(3-(-12+5))+4=6(6+(-12))
-4(3-(-7))+4=6(-6)
-4(10)+4=-36
-40+4=-36
-36=-36
.
ANSWER: a=-12

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