7(3c+6)-3(-2c+2)-5c=14

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Solution for 7(3c+6)-3(-2c+2)-5c=14 equation:


Simplifying
7(3c + 6) + -3(-2c + 2) + -5c = 14

Reorder the terms:
7(6 + 3c) + -3(-2c + 2) + -5c = 14
(6 * 7 + 3c * 7) + -3(-2c + 2) + -5c = 14
(42 + 21c) + -3(-2c + 2) + -5c = 14

Reorder the terms:
42 + 21c + -3(2 + -2c) + -5c = 14
42 + 21c + (2 * -3 + -2c * -3) + -5c = 14
42 + 21c + (-6 + 6c) + -5c = 14

Reorder the terms:
42 + -6 + 21c + 6c + -5c = 14

Combine like terms: 42 + -6 = 36
36 + 21c + 6c + -5c = 14

Combine like terms: 21c + 6c = 27c
36 + 27c + -5c = 14

Combine like terms: 27c + -5c = 22c
36 + 22c = 14

Solving
36 + 22c = 14

Solving for variable 'c'.

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

Add '-36' to each side of the equation.
36 + -36 + 22c = 14 + -36

Combine like terms: 36 + -36 = 0
0 + 22c = 14 + -36
22c = 14 + -36

Combine like terms: 14 + -36 = -22
22c = -22

Divide each side by '22'.
c = -1

Simplifying
c = -1

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