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

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


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

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

Reorder the terms:
-7 + -14 + 42c = 40c + 7

Combine like terms: -7 + -14 = -21
-21 + 42c = 40c + 7

Reorder the terms:
-21 + 42c = 7 + 40c

Solving
-21 + 42c = 7 + 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.
-21 + 42c + -40c = 7 + 40c + -40c

Combine like terms: 42c + -40c = 2c
-21 + 2c = 7 + 40c + -40c

Combine like terms: 40c + -40c = 0
-21 + 2c = 7 + 0
-21 + 2c = 7

Add '21' to each side of the equation.
-21 + 21 + 2c = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 2c = 7 + 21
2c = 7 + 21

Combine like terms: 7 + 21 = 28
2c = 28

Divide each side by '2'.
c = 14

Simplifying
c = 14

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