6(c+6)=5c-2

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Solution for 6(c+6)=5c-2 equation:


Simplifying
6(c + 6) = 5c + -2

Reorder the terms:
6(6 + c) = 5c + -2
(6 * 6 + c * 6) = 5c + -2
(36 + 6c) = 5c + -2

Reorder the terms:
36 + 6c = -2 + 5c

Solving
36 + 6c = -2 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
36 + 6c + -5c = -2 + 5c + -5c

Combine like terms: 6c + -5c = 1c
36 + 1c = -2 + 5c + -5c

Combine like terms: 5c + -5c = 0
36 + 1c = -2 + 0
36 + 1c = -2

Add '-36' to each side of the equation.
36 + -36 + 1c = -2 + -36

Combine like terms: 36 + -36 = 0
0 + 1c = -2 + -36
1c = -2 + -36

Combine like terms: -2 + -36 = -38
1c = -38

Divide each side by '1'.
c = -38

Simplifying
c = -38

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