28-14c=-2c-5(3c-2)

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Solution for 28-14c=-2c-5(3c-2) equation: 


Simplifying
28 + -14c = -2c + -5(3c + -2)

Reorder the terms:
28 + -14c = -2c + -5(-2 + 3c)
28 + -14c = -2c + (-2 * -5 + 3c * -5)
28 + -14c = -2c + (10 + -15c)

Reorder the terms:
28 + -14c = 10 + -2c + -15c

Combine like terms: -2c + -15c = -17c
28 + -14c = 10 + -17c

Solving
28 + -14c = 10 + -17c

Solving for variable 'c'.

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

Add '17c' to each side of the equation.
28 + -14c + 17c = 10 + -17c + 17c

Combine like terms: -14c + 17c = 3c
28 + 3c = 10 + -17c + 17c

Combine like terms: -17c + 17c = 0
28 + 3c = 10 + 0
28 + 3c = 10

Add '-28' to each side of the equation.
28 + -28 + 3c = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 3c = 10 + -28
3c = 10 + -28

Combine like terms: 10 + -28 = -18
3c = -18

Divide each side by '3'.
c = -6

Simplifying
c = -6

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