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

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


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

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

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

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

Solving
12 + 6a = -12 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
12 + 6a + -8a = -12 + 8a + -8a

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

Combine like terms: 8a + -8a = 0
12 + -2a = -12 + 0
12 + -2a = -12

Add '-12' to each side of the equation.
12 + -12 + -2a = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -2a = -12 + -12
-2a = -12 + -12

Combine like terms: -12 + -12 = -24
-2a = -24

Divide each side by '-2'.
a = 12

Simplifying
a = 12

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