2-2a=-3(-6+6a)+8a

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Solution for 2-2a=-3(-6+6a)+8a equation:


Simplifying
2 + -2a = -3(-6 + 6a) + 8a
2 + -2a = (-6 * -3 + 6a * -3) + 8a
2 + -2a = (18 + -18a) + 8a

Combine like terms: -18a + 8a = -10a
2 + -2a = 18 + -10a

Solving
2 + -2a = 18 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
2 + -2a + 10a = 18 + -10a + 10a

Combine like terms: -2a + 10a = 8a
2 + 8a = 18 + -10a + 10a

Combine like terms: -10a + 10a = 0
2 + 8a = 18 + 0
2 + 8a = 18

Add '-2' to each side of the equation.
2 + -2 + 8a = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 8a = 18 + -2
8a = 18 + -2

Combine like terms: 18 + -2 = 16
8a = 16

Divide each side by '8'.
a = 2

Simplifying
a = 2

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