36-(2c+3)=4(c+7)+c

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Solution for 36-(2c+3)=4(c+7)+c equation:


Simplifying
36 + -1(2c + 3) = 4(c + 7) + c

Reorder the terms:
36 + -1(3 + 2c) = 4(c + 7) + c
36 + (3 * -1 + 2c * -1) = 4(c + 7) + c
36 + (-3 + -2c) = 4(c + 7) + c

Combine like terms: 36 + -3 = 33
33 + -2c = 4(c + 7) + c

Reorder the terms:
33 + -2c = 4(7 + c) + c
33 + -2c = (7 * 4 + c * 4) + c
33 + -2c = (28 + 4c) + c

Combine like terms: 4c + c = 5c
33 + -2c = 28 + 5c

Solving
33 + -2c = 28 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
33 + -2c + -5c = 28 + 5c + -5c

Combine like terms: -2c + -5c = -7c
33 + -7c = 28 + 5c + -5c

Combine like terms: 5c + -5c = 0
33 + -7c = 28 + 0
33 + -7c = 28

Add '-33' to each side of the equation.
33 + -33 + -7c = 28 + -33

Combine like terms: 33 + -33 = 0
0 + -7c = 28 + -33
-7c = 28 + -33

Combine like terms: 28 + -33 = -5
-7c = -5

Divide each side by '-7'.
c = 0.7142857143

Simplifying
c = 0.7142857143

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