7(1+c)=6(c-6)

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Solution for 7(1+c)=6(c-6) equation: 


Simplifying
7(1 + c) = 6(c + -6)
(1 * 7 + c * 7) = 6(c + -6)
(7 + 7c) = 6(c + -6)

Reorder the terms:
7 + 7c = 6(-6 + c)
7 + 7c = (-6 * 6 + c * 6)
7 + 7c = (-36 + 6c)

Solving
7 + 7c = -36 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
7 + 7c + -6c = -36 + 6c + -6c

Combine like terms: 7c + -6c = 1c
7 + 1c = -36 + 6c + -6c

Combine like terms: 6c + -6c = 0
7 + 1c = -36 + 0
7 + 1c = -36

Add '-7' to each side of the equation.
7 + -7 + 1c = -36 + -7

Combine like terms: 7 + -7 = 0
0 + 1c = -36 + -7
1c = -36 + -7

Combine like terms: -36 + -7 = -43
1c = -43

Divide each side by '1'.
c = -43

Simplifying
c = -43

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