28-4(c+2)=2(3c-8)-14

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Solution for 28-4(c+2)=2(3c-8)-14 equation: 


Simplifying
28 + -4(c + 2) = 2(3c + -8) + -14

Reorder the terms:
28 + -4(2 + c) = 2(3c + -8) + -14
28 + (2 * -4 + c * -4) = 2(3c + -8) + -14
28 + (-8 + -4c) = 2(3c + -8) + -14

Combine like terms: 28 + -8 = 20
20 + -4c = 2(3c + -8) + -14

Reorder the terms:
20 + -4c = 2(-8 + 3c) + -14
20 + -4c = (-8 * 2 + 3c * 2) + -14
20 + -4c = (-16 + 6c) + -14

Reorder the terms:
20 + -4c = -16 + -14 + 6c

Combine like terms: -16 + -14 = -30
20 + -4c = -30 + 6c

Solving
20 + -4c = -30 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
20 + -4c + -6c = -30 + 6c + -6c

Combine like terms: -4c + -6c = -10c
20 + -10c = -30 + 6c + -6c

Combine like terms: 6c + -6c = 0
20 + -10c = -30 + 0
20 + -10c = -30

Add '-20' to each side of the equation.
20 + -20 + -10c = -30 + -20

Combine like terms: 20 + -20 = 0
0 + -10c = -30 + -20
-10c = -30 + -20

Combine like terms: -30 + -20 = -50
-10c = -50

Divide each side by '-10'.
c = 5

Simplifying
c = 5

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