13(8c-1)-14=102c+13

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Solution for 13(8c-1)-14=102c+13 equation: 


Simplifying
13(8c + -1) + -14 = 102c + 13

Reorder the terms:
13(-1 + 8c) + -14 = 102c + 13
(-1 * 13 + 8c * 13) + -14 = 102c + 13
(-13 + 104c) + -14 = 102c + 13

Reorder the terms:
-13 + -14 + 104c = 102c + 13

Combine like terms: -13 + -14 = -27
-27 + 104c = 102c + 13

Reorder the terms:
-27 + 104c = 13 + 102c

Solving
-27 + 104c = 13 + 102c

Solving for variable 'c'.

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

Add '-102c' to each side of the equation.
-27 + 104c + -102c = 13 + 102c + -102c

Combine like terms: 104c + -102c = 2c
-27 + 2c = 13 + 102c + -102c

Combine like terms: 102c + -102c = 0
-27 + 2c = 13 + 0
-27 + 2c = 13

Add '27' to each side of the equation.
-27 + 27 + 2c = 13 + 27

Combine like terms: -27 + 27 = 0
0 + 2c = 13 + 27
2c = 13 + 27

Combine like terms: 13 + 27 = 40
2c = 40

Divide each side by '2'.
c = 20

Simplifying
c = 20

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