7(6+c)=6(c-4)

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Solution for 7(6+c)=6(c-4) equation: 


Simplifying
7(6 + c) = 6(c + -4)
(6 * 7 + c * 7) = 6(c + -4)
(42 + 7c) = 6(c + -4)

Reorder the terms:
42 + 7c = 6(-4 + c)
42 + 7c = (-4 * 6 + c * 6)
42 + 7c = (-24 + 6c)

Solving
42 + 7c = -24 + 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.
42 + 7c + -6c = -24 + 6c + -6c

Combine like terms: 7c + -6c = 1c
42 + 1c = -24 + 6c + -6c

Combine like terms: 6c + -6c = 0
42 + 1c = -24 + 0
42 + 1c = -24

Add '-42' to each side of the equation.
42 + -42 + 1c = -24 + -42

Combine like terms: 42 + -42 = 0
0 + 1c = -24 + -42
1c = -24 + -42

Combine like terms: -24 + -42 = -66
1c = -66

Divide each side by '1'.
c = -66

Simplifying
c = -66

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