-2(-8c+10)-5(c+-1)=6(c+6)-2(c+1)

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Solution for -2(-8c+10)-5(c+-1)=6(c+6)-2(c+1) equation:


Simplifying
-2(-8c + 10) + -5(c + -1) = 6(c + 6) + -2(c + 1)

Reorder the terms:
-2(10 + -8c) + -5(c + -1) = 6(c + 6) + -2(c + 1)
(10 * -2 + -8c * -2) + -5(c + -1) = 6(c + 6) + -2(c + 1)
(-20 + 16c) + -5(c + -1) = 6(c + 6) + -2(c + 1)

Reorder the terms:
-20 + 16c + -5(-1 + c) = 6(c + 6) + -2(c + 1)
-20 + 16c + (-1 * -5 + c * -5) = 6(c + 6) + -2(c + 1)
-20 + 16c + (5 + -5c) = 6(c + 6) + -2(c + 1)

Reorder the terms:
-20 + 5 + 16c + -5c = 6(c + 6) + -2(c + 1)

Combine like terms: -20 + 5 = -15
-15 + 16c + -5c = 6(c + 6) + -2(c + 1)

Combine like terms: 16c + -5c = 11c
-15 + 11c = 6(c + 6) + -2(c + 1)

Reorder the terms:
-15 + 11c = 6(6 + c) + -2(c + 1)
-15 + 11c = (6 * 6 + c * 6) + -2(c + 1)
-15 + 11c = (36 + 6c) + -2(c + 1)

Reorder the terms:
-15 + 11c = 36 + 6c + -2(1 + c)
-15 + 11c = 36 + 6c + (1 * -2 + c * -2)
-15 + 11c = 36 + 6c + (-2 + -2c)

Reorder the terms:
-15 + 11c = 36 + -2 + 6c + -2c

Combine like terms: 36 + -2 = 34
-15 + 11c = 34 + 6c + -2c

Combine like terms: 6c + -2c = 4c
-15 + 11c = 34 + 4c

Solving
-15 + 11c = 34 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
-15 + 11c + -4c = 34 + 4c + -4c

Combine like terms: 11c + -4c = 7c
-15 + 7c = 34 + 4c + -4c

Combine like terms: 4c + -4c = 0
-15 + 7c = 34 + 0
-15 + 7c = 34

Add '15' to each side of the equation.
-15 + 15 + 7c = 34 + 15

Combine like terms: -15 + 15 = 0
0 + 7c = 34 + 15
7c = 34 + 15

Combine like terms: 34 + 15 = 49
7c = 49

Divide each side by '7'.
c = 7

Simplifying
c = 7

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