4(5c+6)-2c=96

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Solution for 4(5c+6)-2c=96 equation:


Simplifying
4(5c + 6) + -2c = 96

Reorder the terms:
4(6 + 5c) + -2c = 96
(6 * 4 + 5c * 4) + -2c = 96
(24 + 20c) + -2c = 96

Combine like terms: 20c + -2c = 18c
24 + 18c = 96

Solving
24 + 18c = 96

Solving for variable 'c'.

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

Add '-24' to each side of the equation.
24 + -24 + 18c = 96 + -24

Combine like terms: 24 + -24 = 0
0 + 18c = 96 + -24
18c = 96 + -24

Combine like terms: 96 + -24 = 72
18c = 72

Divide each side by '18'.
c = 4

Simplifying
c = 4

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