7[7c+1]-4c=13[3c-s]

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Solution for 7[7c+1]-4c=13[3c-s] equation:


Simplifying
7[7c + 1] + -4c = 13[3c + -1s]

Reorder the terms:
7[1 + 7c] + -4c = 13[3c + -1s]
[1 * 7 + 7c * 7] + -4c = 13[3c + -1s]
[7 + 49c] + -4c = 13[3c + -1s]

Combine like terms: 49c + -4c = 45c
7 + 45c = 13[3c + -1s]
7 + 45c = [3c * 13 + -1s * 13]
7 + 45c = [39c + -13s]

Solving
7 + 45c = 39c + -13s

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 = 39c + -39c + -13s

Combine like terms: 45c + -39c = 6c
7 + 6c = 39c + -39c + -13s

Combine like terms: 39c + -39c = 0
7 + 6c = 0 + -13s
7 + 6c = -13s

Add '-7' to each side of the equation.
7 + -7 + 6c = -7 + -13s

Combine like terms: 7 + -7 = 0
0 + 6c = -7 + -13s
6c = -7 + -13s

Divide each side by '6'.
c = -1.166666667 + -2.166666667s

Simplifying
c = -1.166666667 + -2.166666667s

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