3(4-c)=-4(c-6)

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Solution for 3(4-c)=-4(c-6) equation: 


Simplifying
3(4 + -1c) = -4(c + -6)
(4 * 3 + -1c * 3) = -4(c + -6)
(12 + -3c) = -4(c + -6)

Reorder the terms:
12 + -3c = -4(-6 + c)
12 + -3c = (-6 * -4 + c * -4)
12 + -3c = (24 + -4c)

Solving
12 + -3c = 24 + -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.
12 + -3c + 4c = 24 + -4c + 4c

Combine like terms: -3c + 4c = 1c
12 + 1c = 24 + -4c + 4c

Combine like terms: -4c + 4c = 0
12 + 1c = 24 + 0
12 + 1c = 24

Add '-12' to each side of the equation.
12 + -12 + 1c = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 1c = 24 + -12
1c = 24 + -12

Combine like terms: 24 + -12 = 12
1c = 12

Divide each side by '1'.
c = 12

Simplifying
c = 12

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