11-3(a-1)=2+a

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Solution for 11-3(a-1)=2+a equation:


Simplifying
11 + -3(a + -1) = 2 + a

Reorder the terms:
11 + -3(-1 + a) = 2 + a
11 + (-1 * -3 + a * -3) = 2 + a
11 + (3 + -3a) = 2 + a

Combine like terms: 11 + 3 = 14
14 + -3a = 2 + a

Solving
14 + -3a = 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.
14 + -3a + -1a = 2 + a + -1a

Combine like terms: -3a + -1a = -4a
14 + -4a = 2 + a + -1a

Combine like terms: a + -1a = 0
14 + -4a = 2 + 0
14 + -4a = 2

Add '-14' to each side of the equation.
14 + -14 + -4a = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -4a = 2 + -14
-4a = 2 + -14

Combine like terms: 2 + -14 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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