13(6c-1)-14=76c+13

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Solution for 13(6c-1)-14=76c+13 equation: 


Simplifying
13(6c + -1) + -14 = 76c + 13

Reorder the terms:
13(-1 + 6c) + -14 = 76c + 13
(-1 * 13 + 6c * 13) + -14 = 76c + 13
(-13 + 78c) + -14 = 76c + 13

Reorder the terms:
-13 + -14 + 78c = 76c + 13

Combine like terms: -13 + -14 = -27
-27 + 78c = 76c + 13

Reorder the terms:
-27 + 78c = 13 + 76c

Solving
-27 + 78c = 13 + 76c

Solving for variable 'c'.

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

Add '-76c' to each side of the equation.
-27 + 78c + -76c = 13 + 76c + -76c

Combine like terms: 78c + -76c = 2c
-27 + 2c = 13 + 76c + -76c

Combine like terms: 76c + -76c = 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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