-3(2c+4)-15=6(4c-2)-30

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Solution for -3(2c+4)-15=6(4c-2)-30 equation:


Simplifying
-3(2c + 4) + -15 = 6(4c + -2) + -30

Reorder the terms:
-3(4 + 2c) + -15 = 6(4c + -2) + -30
(4 * -3 + 2c * -3) + -15 = 6(4c + -2) + -30
(-12 + -6c) + -15 = 6(4c + -2) + -30

Reorder the terms:
-12 + -15 + -6c = 6(4c + -2) + -30

Combine like terms: -12 + -15 = -27
-27 + -6c = 6(4c + -2) + -30

Reorder the terms:
-27 + -6c = 6(-2 + 4c) + -30
-27 + -6c = (-2 * 6 + 4c * 6) + -30
-27 + -6c = (-12 + 24c) + -30

Reorder the terms:
-27 + -6c = -12 + -30 + 24c

Combine like terms: -12 + -30 = -42
-27 + -6c = -42 + 24c

Solving
-27 + -6c = -42 + 24c

Solving for variable 'c'.

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

Add '-24c' to each side of the equation.
-27 + -6c + -24c = -42 + 24c + -24c

Combine like terms: -6c + -24c = -30c
-27 + -30c = -42 + 24c + -24c

Combine like terms: 24c + -24c = 0
-27 + -30c = -42 + 0
-27 + -30c = -42

Add '27' to each side of the equation.
-27 + 27 + -30c = -42 + 27

Combine like terms: -27 + 27 = 0
0 + -30c = -42 + 27
-30c = -42 + 27

Combine like terms: -42 + 27 = -15
-30c = -15

Divide each side by '-30'.
c = 0.5

Simplifying
c = 0.5

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