-3(a-2)+4=a+12

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Solution for -3(a-2)+4=a+12 equation:


Simplifying
-3(a + -2) + 4 = a + 12

Reorder the terms:
-3(-2 + a) + 4 = a + 12
(-2 * -3 + a * -3) + 4 = a + 12
(6 + -3a) + 4 = a + 12

Reorder the terms:
6 + 4 + -3a = a + 12

Combine like terms: 6 + 4 = 10
10 + -3a = a + 12

Reorder the terms:
10 + -3a = 12 + a

Solving
10 + -3a = 12 + 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.
10 + -3a + -1a = 12 + a + -1a

Combine like terms: -3a + -1a = -4a
10 + -4a = 12 + a + -1a

Combine like terms: a + -1a = 0
10 + -4a = 12 + 0
10 + -4a = 12

Add '-10' to each side of the equation.
10 + -10 + -4a = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -4a = 12 + -10
-4a = 12 + -10

Combine like terms: 12 + -10 = 2
-4a = 2

Divide each side by '-4'.
a = -0.5

Simplifying
a = -0.5

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