2(1-8c)=8-3(6c+1)+4c

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Solution for 2(1-8c)=8-3(6c+1)+4c equation: 


Simplifying
2(1 + -8c) = 8 + -3(6c + 1) + 4c
(1 * 2 + -8c * 2) = 8 + -3(6c + 1) + 4c
(2 + -16c) = 8 + -3(6c + 1) + 4c

Reorder the terms:
2 + -16c = 8 + -3(1 + 6c) + 4c
2 + -16c = 8 + (1 * -3 + 6c * -3) + 4c
2 + -16c = 8 + (-3 + -18c) + 4c

Combine like terms: 8 + -3 = 5
2 + -16c = 5 + -18c + 4c

Combine like terms: -18c + 4c = -14c
2 + -16c = 5 + -14c

Solving
2 + -16c = 5 + -14c

Solving for variable 'c'.

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

Add '14c' to each side of the equation.
2 + -16c + 14c = 5 + -14c + 14c

Combine like terms: -16c + 14c = -2c
2 + -2c = 5 + -14c + 14c

Combine like terms: -14c + 14c = 0
2 + -2c = 5 + 0
2 + -2c = 5

Add '-2' to each side of the equation.
2 + -2 + -2c = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -2c = 5 + -2
-2c = 5 + -2

Combine like terms: 5 + -2 = 3
-2c = 3

Divide each side by '-2'.
c = -1.5

Simplifying
c = -1.5

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