8-2(2+c)=c-6

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Solution for 8-2(2+c)=c-6 equation:


Simplifying
8 + -2(2 + c) = c + -6
8 + (2 * -2 + c * -2) = c + -6
8 + (-4 + -2c) = c + -6

Combine like terms: 8 + -4 = 4
4 + -2c = c + -6

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

Solving
4 + -2c = -6 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
4 + -2c + -1c = -6 + c + -1c

Combine like terms: -2c + -1c = -3c
4 + -3c = -6 + c + -1c

Combine like terms: c + -1c = 0
4 + -3c = -6 + 0
4 + -3c = -6

Add '-4' to each side of the equation.
4 + -4 + -3c = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -3c = -6 + -4
-3c = -6 + -4

Combine like terms: -6 + -4 = -10
-3c = -10

Divide each side by '-3'.
c = 3.333333333

Simplifying
c = 3.333333333

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