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

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


Simplifying
6(6 + c) = 5(c + -2)
(6 * 6 + c * 6) = 5(c + -2)
(36 + 6c) = 5(c + -2)

Reorder the terms:
36 + 6c = 5(-2 + c)
36 + 6c = (-2 * 5 + c * 5)
36 + 6c = (-10 + 5c)

Solving
36 + 6c = -10 + 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 = -10 + 5c + -5c

Combine like terms: 6c + -5c = 1c
36 + 1c = -10 + 5c + -5c

Combine like terms: 5c + -5c = 0
36 + 1c = -10 + 0
36 + 1c = -10

Add '-36' to each side of the equation.
36 + -36 + 1c = -10 + -36

Combine like terms: 36 + -36 = 0
0 + 1c = -10 + -36
1c = -10 + -36

Combine like terms: -10 + -36 = -46
1c = -46

Divide each side by '1'.
c = -46

Simplifying
c = -46

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