6(-3a+6)-5(6a-4)=-40

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Solution for 6(-3a+6)-5(6a-4)=-40 equation: 


Simplifying
6(-3a + 6) + -5(6a + -4) = -40

Reorder the terms:
6(6 + -3a) + -5(6a + -4) = -40
(6 * 6 + -3a * 6) + -5(6a + -4) = -40
(36 + -18a) + -5(6a + -4) = -40

Reorder the terms:
36 + -18a + -5(-4 + 6a) = -40
36 + -18a + (-4 * -5 + 6a * -5) = -40
36 + -18a + (20 + -30a) = -40

Reorder the terms:
36 + 20 + -18a + -30a = -40

Combine like terms: 36 + 20 = 56
56 + -18a + -30a = -40

Combine like terms: -18a + -30a = -48a
56 + -48a = -40

Solving
56 + -48a = -40

Solving for variable 'a'.

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

Add '-56' to each side of the equation.
56 + -56 + -48a = -40 + -56

Combine like terms: 56 + -56 = 0
0 + -48a = -40 + -56
-48a = -40 + -56

Combine like terms: -40 + -56 = -96
-48a = -96

Divide each side by '-48'.
a = 2

Simplifying
a = 2

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