2(5c-1)-3(c-7)-6=-8

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Solution for 2(5c-1)-3(c-7)-6=-8 equation: 


Simplifying
2(5c + -1) + -3(c + -7) + -6 = -8

Reorder the terms:
2(-1 + 5c) + -3(c + -7) + -6 = -8
(-1 * 2 + 5c * 2) + -3(c + -7) + -6 = -8
(-2 + 10c) + -3(c + -7) + -6 = -8

Reorder the terms:
-2 + 10c + -3(-7 + c) + -6 = -8
-2 + 10c + (-7 * -3 + c * -3) + -6 = -8
-2 + 10c + (21 + -3c) + -6 = -8

Reorder the terms:
-2 + 21 + -6 + 10c + -3c = -8

Combine like terms: -2 + 21 = 19
19 + -6 + 10c + -3c = -8

Combine like terms: 19 + -6 = 13
13 + 10c + -3c = -8

Combine like terms: 10c + -3c = 7c
13 + 7c = -8

Solving
13 + 7c = -8

Solving for variable 'c'.

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

Add '-13' to each side of the equation.
13 + -13 + 7c = -8 + -13

Combine like terms: 13 + -13 = 0
0 + 7c = -8 + -13
7c = -8 + -13

Combine like terms: -8 + -13 = -21
7c = -21

Divide each side by '7'.
c = -3

Simplifying
c = -3

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