7(c+9)-2=8c+7

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Solution for 7(c+9)-2=8c+7 equation:


Simplifying
7(c + 9) + -2 = 8c + 7

Reorder the terms:
7(9 + c) + -2 = 8c + 7
(9 * 7 + c * 7) + -2 = 8c + 7
(63 + 7c) + -2 = 8c + 7

Reorder the terms:
63 + -2 + 7c = 8c + 7

Combine like terms: 63 + -2 = 61
61 + 7c = 8c + 7

Reorder the terms:
61 + 7c = 7 + 8c

Solving
61 + 7c = 7 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
61 + 7c + -8c = 7 + 8c + -8c

Combine like terms: 7c + -8c = -1c
61 + -1c = 7 + 8c + -8c

Combine like terms: 8c + -8c = 0
61 + -1c = 7 + 0
61 + -1c = 7

Add '-61' to each side of the equation.
61 + -61 + -1c = 7 + -61

Combine like terms: 61 + -61 = 0
0 + -1c = 7 + -61
-1c = 7 + -61

Combine like terms: 7 + -61 = -54
-1c = -54

Divide each side by '-1'.
c = 54

Simplifying
c = 54

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