7(7c+1)-4c=13(3c-3)

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Solution for 7(7c+1)-4c=13(3c-3) equation:


Simplifying
7(7c + 1) + -4c = 13(3c + -3)

Reorder the terms:
7(1 + 7c) + -4c = 13(3c + -3)
(1 * 7 + 7c * 7) + -4c = 13(3c + -3)
(7 + 49c) + -4c = 13(3c + -3)

Combine like terms: 49c + -4c = 45c
7 + 45c = 13(3c + -3)

Reorder the terms:
7 + 45c = 13(-3 + 3c)
7 + 45c = (-3 * 13 + 3c * 13)
7 + 45c = (-39 + 39c)

Solving
7 + 45c = -39 + 39c

Solving for variable 'c'.

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

Add '-39c' to each side of the equation.
7 + 45c + -39c = -39 + 39c + -39c

Combine like terms: 45c + -39c = 6c
7 + 6c = -39 + 39c + -39c

Combine like terms: 39c + -39c = 0
7 + 6c = -39 + 0
7 + 6c = -39

Add '-7' to each side of the equation.
7 + -7 + 6c = -39 + -7

Combine like terms: 7 + -7 = 0
0 + 6c = -39 + -7
6c = -39 + -7

Combine like terms: -39 + -7 = -46
6c = -46

Divide each side by '6'.
c = -7.666666667

Simplifying
c = -7.666666667

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