2c+2=6(c-4)+2

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Solution for 2c+2=6(c-4)+2 equation: 


Simplifying
2c + 2 = 6(c + -4) + 2

Reorder the terms:
2 + 2c = 6(c + -4) + 2

Reorder the terms:
2 + 2c = 6(-4 + c) + 2
2 + 2c = (-4 * 6 + c * 6) + 2
2 + 2c = (-24 + 6c) + 2

Reorder the terms:
2 + 2c = -24 + 2 + 6c

Combine like terms: -24 + 2 = -22
2 + 2c = -22 + 6c

Solving
2 + 2c = -22 + 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.
2 + 2c + -6c = -22 + 6c + -6c

Combine like terms: 2c + -6c = -4c
2 + -4c = -22 + 6c + -6c

Combine like terms: 6c + -6c = 0
2 + -4c = -22 + 0
2 + -4c = -22

Add '-2' to each side of the equation.
2 + -2 + -4c = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -4c = -22 + -2
-4c = -22 + -2

Combine like terms: -22 + -2 = -24
-4c = -24

Divide each side by '-4'.
c = 6

Simplifying
c = 6

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