11-2(a-1)=7+a

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Solution for 11-2(a-1)=7+a equation:


Simplifying
11 + -2(a + -1) = 7 + a

Reorder the terms:
11 + -2(-1 + a) = 7 + a
11 + (-1 * -2 + a * -2) = 7 + a
11 + (2 + -2a) = 7 + a

Combine like terms: 11 + 2 = 13
13 + -2a = 7 + a

Solving
13 + -2a = 7 + 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.
13 + -2a + -1a = 7 + a + -1a

Combine like terms: -2a + -1a = -3a
13 + -3a = 7 + a + -1a

Combine like terms: a + -1a = 0
13 + -3a = 7 + 0
13 + -3a = 7

Add '-13' to each side of the equation.
13 + -13 + -3a = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -3a = 7 + -13
-3a = 7 + -13

Combine like terms: 7 + -13 = -6
-3a = -6

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

Simplifying
a = 2

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