7(9c-1)-16=61c+7

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Solution for 7(9c-1)-16=61c+7 equation:


Simplifying
7(9c + -1) + -16 = 61c + 7

Reorder the terms:
7(-1 + 9c) + -16 = 61c + 7
(-1 * 7 + 9c * 7) + -16 = 61c + 7
(-7 + 63c) + -16 = 61c + 7

Reorder the terms:
-7 + -16 + 63c = 61c + 7

Combine like terms: -7 + -16 = -23
-23 + 63c = 61c + 7

Reorder the terms:
-23 + 63c = 7 + 61c

Solving
-23 + 63c = 7 + 61c

Solving for variable 'c'.

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

Add '-61c' to each side of the equation.
-23 + 63c + -61c = 7 + 61c + -61c

Combine like terms: 63c + -61c = 2c
-23 + 2c = 7 + 61c + -61c

Combine like terms: 61c + -61c = 0
-23 + 2c = 7 + 0
-23 + 2c = 7

Add '23' to each side of the equation.
-23 + 23 + 2c = 7 + 23

Combine like terms: -23 + 23 = 0
0 + 2c = 7 + 23
2c = 7 + 23

Combine like terms: 7 + 23 = 30
2c = 30

Divide each side by '2'.
c = 15

Simplifying
c = 15

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