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

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


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

Reorder the terms:
6(2 + 6c) + -8(1 + 5c) = 2c
(2 * 6 + 6c * 6) + -8(1 + 5c) = 2c
(12 + 36c) + -8(1 + 5c) = 2c
12 + 36c + (1 * -8 + 5c * -8) = 2c
12 + 36c + (-8 + -40c) = 2c

Reorder the terms:
12 + -8 + 36c + -40c = 2c

Combine like terms: 12 + -8 = 4
4 + 36c + -40c = 2c

Combine like terms: 36c + -40c = -4c
4 + -4c = 2c

Solving
4 + -4c = 2c

Solving for variable 'c'.

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

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

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

Combine like terms: 2c + -2c = 0
4 + -6c = 0

Add '-4' to each side of the equation.
4 + -4 + -6c = 0 + -4

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

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

Divide each side by '-6'.
c = 0.6666666667

Simplifying
c = 0.6666666667

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