6(5-8a)+12=-54

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Solution for 6(5-8a)+12=-54 equation:


Simplifying
6(5 + -8a) + 12 = -54
(5 * 6 + -8a * 6) + 12 = -54
(30 + -48a) + 12 = -54

Reorder the terms:
30 + 12 + -48a = -54

Combine like terms: 30 + 12 = 42
42 + -48a = -54

Solving
42 + -48a = -54

Solving for variable 'a'.

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

Add '-42' to each side of the equation.
42 + -42 + -48a = -54 + -42

Combine like terms: 42 + -42 = 0
0 + -48a = -54 + -42
-48a = -54 + -42

Combine like terms: -54 + -42 = -96
-48a = -96

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

Simplifying
a = 2

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