-54=2(7-6a)-8(a+1)

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Solution for -54=2(7-6a)-8(a+1) equation:


Simplifying
-54 = 2(7 + -6a) + -8(a + 1)
-54 = (7 * 2 + -6a * 2) + -8(a + 1)
-54 = (14 + -12a) + -8(a + 1)

Reorder the terms:
-54 = 14 + -12a + -8(1 + a)
-54 = 14 + -12a + (1 * -8 + a * -8)
-54 = 14 + -12a + (-8 + -8a)

Reorder the terms:
-54 = 14 + -8 + -12a + -8a

Combine like terms: 14 + -8 = 6
-54 = 6 + -12a + -8a

Combine like terms: -12a + -8a = -20a
-54 = 6 + -20a

Solving
-54 = 6 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
-54 + 20a = 6 + -20a + 20a

Combine like terms: -20a + 20a = 0
-54 + 20a = 6 + 0
-54 + 20a = 6

Add '54' to each side of the equation.
-54 + 54 + 20a = 6 + 54

Combine like terms: -54 + 54 = 0
0 + 20a = 6 + 54
20a = 6 + 54

Combine like terms: 6 + 54 = 60
20a = 60

Divide each side by '20'.
a = 3

Simplifying
a = 3

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