-12(a-1)=-8(a-7)

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Solution for -12(a-1)=-8(a-7) equation:


Simplifying
-12(a + -1) = -8(a + -7)

Reorder the terms:
-12(-1 + a) = -8(a + -7)
(-1 * -12 + a * -12) = -8(a + -7)
(12 + -12a) = -8(a + -7)

Reorder the terms:
12 + -12a = -8(-7 + a)
12 + -12a = (-7 * -8 + a * -8)
12 + -12a = (56 + -8a)

Solving
12 + -12a = 56 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
12 + -12a + 8a = 56 + -8a + 8a

Combine like terms: -12a + 8a = -4a
12 + -4a = 56 + -8a + 8a

Combine like terms: -8a + 8a = 0
12 + -4a = 56 + 0
12 + -4a = 56

Add '-12' to each side of the equation.
12 + -12 + -4a = 56 + -12

Combine like terms: 12 + -12 = 0
0 + -4a = 56 + -12
-4a = 56 + -12

Combine like terms: 56 + -12 = 44
-4a = 44

Divide each side by '-4'.
a = -11

Simplifying
a = -11

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