37-(2c-3)=2(c+7)+c

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Solution for 37-(2c-3)=2(c+7)+c equation: 


Simplifying
37 + -1(2c + -3) = 2(c + 7) + c

Reorder the terms:
37 + -1(-3 + 2c) = 2(c + 7) + c
37 + (-3 * -1 + 2c * -1) = 2(c + 7) + c
37 + (3 + -2c) = 2(c + 7) + c

Combine like terms: 37 + 3 = 40
40 + -2c = 2(c + 7) + c

Reorder the terms:
40 + -2c = 2(7 + c) + c
40 + -2c = (7 * 2 + c * 2) + c
40 + -2c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
40 + -2c = 14 + 3c

Solving
40 + -2c = 14 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
40 + -2c + -3c = 14 + 3c + -3c

Combine like terms: -2c + -3c = -5c
40 + -5c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
40 + -5c = 14 + 0
40 + -5c = 14

Add '-40' to each side of the equation.
40 + -40 + -5c = 14 + -40

Combine like terms: 40 + -40 = 0
0 + -5c = 14 + -40
-5c = 14 + -40

Combine like terms: 14 + -40 = -26
-5c = -26

Divide each side by '-5'.
c = 5.2

Simplifying
c = 5.2

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