7c+2=6c-3(6+c)

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Solution for 7c+2=6c-3(6+c) equation: 


Simplifying
7c + 2 = 6c + -3(6 + c)

Reorder the terms:
2 + 7c = 6c + -3(6 + c)
2 + 7c = 6c + (6 * -3 + c * -3)
2 + 7c = 6c + (-18 + -3c)

Reorder the terms:
2 + 7c = -18 + 6c + -3c

Combine like terms: 6c + -3c = 3c
2 + 7c = -18 + 3c

Solving
2 + 7c = -18 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
2 + 7c + -3c = -18 + 3c + -3c

Combine like terms: 7c + -3c = 4c
2 + 4c = -18 + 3c + -3c

Combine like terms: 3c + -3c = 0
2 + 4c = -18 + 0
2 + 4c = -18

Add '-2' to each side of the equation.
2 + -2 + 4c = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 4c = -18 + -2
4c = -18 + -2

Combine like terms: -18 + -2 = -20
4c = -20

Divide each side by '4'.
c = -5

Simplifying
c = -5

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