8c+1=7(c-2)-2c

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Solution for 8c+1=7(c-2)-2c equation:


Simplifying
8c + 1 = 7(c + -2) + -2c

Reorder the terms:
1 + 8c = 7(c + -2) + -2c

Reorder the terms:
1 + 8c = 7(-2 + c) + -2c
1 + 8c = (-2 * 7 + c * 7) + -2c
1 + 8c = (-14 + 7c) + -2c

Combine like terms: 7c + -2c = 5c
1 + 8c = -14 + 5c

Solving
1 + 8c = -14 + 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.
1 + 8c + -5c = -14 + 5c + -5c

Combine like terms: 8c + -5c = 3c
1 + 3c = -14 + 5c + -5c

Combine like terms: 5c + -5c = 0
1 + 3c = -14 + 0
1 + 3c = -14

Add '-1' to each side of the equation.
1 + -1 + 3c = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 3c = -14 + -1
3c = -14 + -1

Combine like terms: -14 + -1 = -15
3c = -15

Divide each side by '3'.
c = -5

Simplifying
c = -5

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