6a+12=2+(3a-8)

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Solution for 6a+12=2+(3a-8) equation:


Simplifying
6a + 12 = 2 + (3a + -8)

Reorder the terms:
12 + 6a = 2 + (3a + -8)

Reorder the terms:
12 + 6a = 2 + (-8 + 3a)

Remove parenthesis around (-8 + 3a)
12 + 6a = 2 + -8 + 3a

Combine like terms: 2 + -8 = -6
12 + 6a = -6 + 3a

Solving
12 + 6a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
12 + 6a + -3a = -6 + 3a + -3a

Combine like terms: 6a + -3a = 3a
12 + 3a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
12 + 3a = -6 + 0
12 + 3a = -6

Add '-12' to each side of the equation.
12 + -12 + 3a = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 3a = -6 + -12
3a = -6 + -12

Combine like terms: -6 + -12 = -18
3a = -18

Divide each side by '3'.
a = -6

Simplifying
a = -6

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