12-4(5a-1)=2(3a+6)-4a

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Solution for 12-4(5a-1)=2(3a+6)-4a equation: 


Simplifying
12 + -4(5a + -1) = 2(3a + 6) + -4a

Reorder the terms:
12 + -4(-1 + 5a) = 2(3a + 6) + -4a
12 + (-1 * -4 + 5a * -4) = 2(3a + 6) + -4a
12 + (4 + -20a) = 2(3a + 6) + -4a

Combine like terms: 12 + 4 = 16
16 + -20a = 2(3a + 6) + -4a

Reorder the terms:
16 + -20a = 2(6 + 3a) + -4a
16 + -20a = (6 * 2 + 3a * 2) + -4a
16 + -20a = (12 + 6a) + -4a

Combine like terms: 6a + -4a = 2a
16 + -20a = 12 + 2a

Solving
16 + -20a = 12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
16 + -20a + -2a = 12 + 2a + -2a

Combine like terms: -20a + -2a = -22a
16 + -22a = 12 + 2a + -2a

Combine like terms: 2a + -2a = 0
16 + -22a = 12 + 0
16 + -22a = 12

Add '-16' to each side of the equation.
16 + -16 + -22a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -22a = 12 + -16
-22a = 12 + -16

Combine like terms: 12 + -16 = -4
-22a = -4

Divide each side by '-22'.
a = 0.1818181818

Simplifying
a = 0.1818181818

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