-54=6(2+7a)-2(-5a+7)

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Solution for -54=6(2+7a)-2(-5a+7) equation:


Simplifying
-54 = 6(2 + 7a) + -2(-5a + 7)
-54 = (2 * 6 + 7a * 6) + -2(-5a + 7)
-54 = (12 + 42a) + -2(-5a + 7)

Reorder the terms:
-54 = 12 + 42a + -2(7 + -5a)
-54 = 12 + 42a + (7 * -2 + -5a * -2)
-54 = 12 + 42a + (-14 + 10a)

Reorder the terms:
-54 = 12 + -14 + 42a + 10a

Combine like terms: 12 + -14 = -2
-54 = -2 + 42a + 10a

Combine like terms: 42a + 10a = 52a
-54 = -2 + 52a

Solving
-54 = -2 + 52a

Solving for variable 'a'.

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

Add '-52a' to each side of the equation.
-54 + -52a = -2 + 52a + -52a

Combine like terms: 52a + -52a = 0
-54 + -52a = -2 + 0
-54 + -52a = -2

Add '54' to each side of the equation.
-54 + 54 + -52a = -2 + 54

Combine like terms: -54 + 54 = 0
0 + -52a = -2 + 54
-52a = -2 + 54

Combine like terms: -2 + 54 = 52
-52a = 52

Divide each side by '-52'.
a = -1

Simplifying
a = -1

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