2(a-8)=3(a+2)-3a

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Solution for 2(a-8)=3(a+2)-3a equation: 


Simplifying
2(a + -8) = 3(a + 2) + -3a

Reorder the terms:
2(-8 + a) = 3(a + 2) + -3a
(-8 * 2 + a * 2) = 3(a + 2) + -3a
(-16 + 2a) = 3(a + 2) + -3a

Reorder the terms:
-16 + 2a = 3(2 + a) + -3a
-16 + 2a = (2 * 3 + a * 3) + -3a
-16 + 2a = (6 + 3a) + -3a

Combine like terms: 3a + -3a = 0
-16 + 2a = 6 + 0
-16 + 2a = 6

Solving
-16 + 2a = 6

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + 2a = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 2a = 6 + 16
2a = 6 + 16

Combine like terms: 6 + 16 = 22
2a = 22

Divide each side by '2'.
a = 11

Simplifying
a = 11

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