6-2(a-1)=2+a

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Solution for 6-2(a-1)=2+a equation:


Simplifying
6 + -2(a + -1) = 2 + a

Reorder the terms:
6 + -2(-1 + a) = 2 + a
6 + (-1 * -2 + a * -2) = 2 + a
6 + (2 + -2a) = 2 + a

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

Solving
8 + -2a = 2 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
8 + -2a + -1a = 2 + a + -1a

Combine like terms: -2a + -1a = -3a
8 + -3a = 2 + a + -1a

Combine like terms: a + -1a = 0
8 + -3a = 2 + 0
8 + -3a = 2

Add '-8' to each side of the equation.
8 + -8 + -3a = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = 2 + -8
-3a = 2 + -8

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

Divide each side by '-3'.
a = 2

Simplifying
a = 2

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