8(c+9)=6(2c-12)-4

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Solution for 8(c+9)=6(2c-12)-4 equation: 


Simplifying
8(c + 9) = 6(2c + -12) + -4

Reorder the terms:
8(9 + c) = 6(2c + -12) + -4
(9 * 8 + c * 8) = 6(2c + -12) + -4
(72 + 8c) = 6(2c + -12) + -4

Reorder the terms:
72 + 8c = 6(-12 + 2c) + -4
72 + 8c = (-12 * 6 + 2c * 6) + -4
72 + 8c = (-72 + 12c) + -4

Reorder the terms:
72 + 8c = -72 + -4 + 12c

Combine like terms: -72 + -4 = -76
72 + 8c = -76 + 12c

Solving
72 + 8c = -76 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
72 + 8c + -12c = -76 + 12c + -12c

Combine like terms: 8c + -12c = -4c
72 + -4c = -76 + 12c + -12c

Combine like terms: 12c + -12c = 0
72 + -4c = -76 + 0
72 + -4c = -76

Add '-72' to each side of the equation.
72 + -72 + -4c = -76 + -72

Combine like terms: 72 + -72 = 0
0 + -4c = -76 + -72
-4c = -76 + -72

Combine like terms: -76 + -72 = -148
-4c = -148

Divide each side by '-4'.
c = 37

Simplifying
c = 37

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