2(4c-1)+3(8-4c)=-30

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Solution for 2(4c-1)+3(8-4c)=-30 equation: 


Simplifying
2(4c + -1) + 3(8 + -4c) = -30

Reorder the terms:
2(-1 + 4c) + 3(8 + -4c) = -30
(-1 * 2 + 4c * 2) + 3(8 + -4c) = -30
(-2 + 8c) + 3(8 + -4c) = -30
-2 + 8c + (8 * 3 + -4c * 3) = -30
-2 + 8c + (24 + -12c) = -30

Reorder the terms:
-2 + 24 + 8c + -12c = -30

Combine like terms: -2 + 24 = 22
22 + 8c + -12c = -30

Combine like terms: 8c + -12c = -4c
22 + -4c = -30

Solving
22 + -4c = -30

Solving for variable 'c'.

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

Add '-22' to each side of the equation.
22 + -22 + -4c = -30 + -22

Combine like terms: 22 + -22 = 0
0 + -4c = -30 + -22
-4c = -30 + -22

Combine like terms: -30 + -22 = -52
-4c = -52

Divide each side by '-4'.
c = 13

Simplifying
c = 13

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