6(7c-1)-14=40c+6

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Solution for 6(7c-1)-14=40c+6 equation:


Simplifying
6(7c + -1) + -14 = 40c + 6

Reorder the terms:
6(-1 + 7c) + -14 = 40c + 6
(-1 * 6 + 7c * 6) + -14 = 40c + 6
(-6 + 42c) + -14 = 40c + 6

Reorder the terms:
-6 + -14 + 42c = 40c + 6

Combine like terms: -6 + -14 = -20
-20 + 42c = 40c + 6

Reorder the terms:
-20 + 42c = 6 + 40c

Solving
-20 + 42c = 6 + 40c

Solving for variable 'c'.

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

Add '-40c' to each side of the equation.
-20 + 42c + -40c = 6 + 40c + -40c

Combine like terms: 42c + -40c = 2c
-20 + 2c = 6 + 40c + -40c

Combine like terms: 40c + -40c = 0
-20 + 2c = 6 + 0
-20 + 2c = 6

Add '20' to each side of the equation.
-20 + 20 + 2c = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2c = 6 + 20
2c = 6 + 20

Combine like terms: 6 + 20 = 26
2c = 26

Divide each side by '2'.
c = 13

Simplifying
c = 13

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