7(2+c)=6(c-1)

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Solution for 7(2+c)=6(c-1) equation:


Simplifying
7(2 + c) = 6(c + -1)
(2 * 7 + c * 7) = 6(c + -1)
(14 + 7c) = 6(c + -1)

Reorder the terms:
14 + 7c = 6(-1 + c)
14 + 7c = (-1 * 6 + c * 6)
14 + 7c = (-6 + 6c)

Solving
14 + 7c = -6 + 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.
14 + 7c + -6c = -6 + 6c + -6c

Combine like terms: 7c + -6c = 1c
14 + 1c = -6 + 6c + -6c

Combine like terms: 6c + -6c = 0
14 + 1c = -6 + 0
14 + 1c = -6

Add '-14' to each side of the equation.
14 + -14 + 1c = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 1c = -6 + -14
1c = -6 + -14

Combine like terms: -6 + -14 = -20
1c = -20

Divide each side by '1'.
c = -20

Simplifying
c = -20

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