12+4c-20=-8(-2c-13)-16

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Solution for 12+4c-20=-8(-2c-13)-16 equation:


Simplifying
12 + 4c + -20 = -8(-2c + -13) + -16

Reorder the terms:
12 + -20 + 4c = -8(-2c + -13) + -16

Combine like terms: 12 + -20 = -8
-8 + 4c = -8(-2c + -13) + -16

Reorder the terms:
-8 + 4c = -8(-13 + -2c) + -16
-8 + 4c = (-13 * -8 + -2c * -8) + -16
-8 + 4c = (104 + 16c) + -16

Reorder the terms:
-8 + 4c = 104 + -16 + 16c

Combine like terms: 104 + -16 = 88
-8 + 4c = 88 + 16c

Solving
-8 + 4c = 88 + 16c

Solving for variable 'c'.

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

Add '-16c' to each side of the equation.
-8 + 4c + -16c = 88 + 16c + -16c

Combine like terms: 4c + -16c = -12c
-8 + -12c = 88 + 16c + -16c

Combine like terms: 16c + -16c = 0
-8 + -12c = 88 + 0
-8 + -12c = 88

Add '8' to each side of the equation.
-8 + 8 + -12c = 88 + 8

Combine like terms: -8 + 8 = 0
0 + -12c = 88 + 8
-12c = 88 + 8

Combine like terms: 88 + 8 = 96
-12c = 96

Divide each side by '-12'.
c = -8

Simplifying
c = -8

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