7(-2c+1)=2c-57

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Solution for 7(-2c+1)=2c-57 equation:


Simplifying
7(-2c + 1) = 2c + -57

Reorder the terms:
7(1 + -2c) = 2c + -57
(1 * 7 + -2c * 7) = 2c + -57
(7 + -14c) = 2c + -57

Reorder the terms:
7 + -14c = -57 + 2c

Solving
7 + -14c = -57 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
7 + -14c + -2c = -57 + 2c + -2c

Combine like terms: -14c + -2c = -16c
7 + -16c = -57 + 2c + -2c

Combine like terms: 2c + -2c = 0
7 + -16c = -57 + 0
7 + -16c = -57

Add '-7' to each side of the equation.
7 + -7 + -16c = -57 + -7

Combine like terms: 7 + -7 = 0
0 + -16c = -57 + -7
-16c = -57 + -7

Combine like terms: -57 + -7 = -64
-16c = -64

Divide each side by '-16'.
c = 4

Simplifying
c = 4

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