(6c+7)=5(c+8)

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Solution for (6c+7)=5(c+8) equation:


Simplifying
(6c + 7) = 5(c + 8)

Reorder the terms:
(7 + 6c) = 5(c + 8)

Remove parenthesis around (7 + 6c)
7 + 6c = 5(c + 8)

Reorder the terms:
7 + 6c = 5(8 + c)
7 + 6c = (8 * 5 + c * 5)
7 + 6c = (40 + 5c)

Solving
7 + 6c = 40 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
7 + 6c + -5c = 40 + 5c + -5c

Combine like terms: 6c + -5c = 1c
7 + 1c = 40 + 5c + -5c

Combine like terms: 5c + -5c = 0
7 + 1c = 40 + 0
7 + 1c = 40

Add '-7' to each side of the equation.
7 + -7 + 1c = 40 + -7

Combine like terms: 7 + -7 = 0
0 + 1c = 40 + -7
1c = 40 + -7

Combine like terms: 40 + -7 = 33
1c = 33

Divide each side by '1'.
c = 33

Simplifying
c = 33

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