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

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


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

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

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

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

Combine like terms: -12 + 2 = -10
8 + 3a = -10 + 6a

Solving
8 + 3a = -10 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
8 + 3a + -6a = -10 + 6a + -6a

Combine like terms: 3a + -6a = -3a
8 + -3a = -10 + 6a + -6a

Combine like terms: 6a + -6a = 0
8 + -3a = -10 + 0
8 + -3a = -10

Add '-8' to each side of the equation.
8 + -8 + -3a = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = -10 + -8
-3a = -10 + -8

Combine like terms: -10 + -8 = -18
-3a = -18

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

Simplifying
a = 6

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