-14(3a+6)=12(6-4a)

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Solution for -14(3a+6)=12(6-4a) equation:


Simplifying
-14(3a + 6) = 12(6 + -4a)

Reorder the terms:
-14(6 + 3a) = 12(6 + -4a)
(6 * -14 + 3a * -14) = 12(6 + -4a)
(-84 + -42a) = 12(6 + -4a)
-84 + -42a = (6 * 12 + -4a * 12)
-84 + -42a = (72 + -48a)

Solving
-84 + -42a = 72 + -48a

Solving for variable 'a'.

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

Add '48a' to each side of the equation.
-84 + -42a + 48a = 72 + -48a + 48a

Combine like terms: -42a + 48a = 6a
-84 + 6a = 72 + -48a + 48a

Combine like terms: -48a + 48a = 0
-84 + 6a = 72 + 0
-84 + 6a = 72

Add '84' to each side of the equation.
-84 + 84 + 6a = 72 + 84

Combine like terms: -84 + 84 = 0
0 + 6a = 72 + 84
6a = 72 + 84

Combine like terms: 72 + 84 = 156
6a = 156

Divide each side by '6'.
a = 26

Simplifying
a = 26

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