6(4c-1)-2=22c+6

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Solution for 6(4c-1)-2=22c+6 equation:


Simplifying
6(4c + -1) + -2 = 22c + 6

Reorder the terms:
6(-1 + 4c) + -2 = 22c + 6
(-1 * 6 + 4c * 6) + -2 = 22c + 6
(-6 + 24c) + -2 = 22c + 6

Reorder the terms:
-6 + -2 + 24c = 22c + 6

Combine like terms: -6 + -2 = -8
-8 + 24c = 22c + 6

Reorder the terms:
-8 + 24c = 6 + 22c

Solving
-8 + 24c = 6 + 22c

Solving for variable 'c'.

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

Add '-22c' to each side of the equation.
-8 + 24c + -22c = 6 + 22c + -22c

Combine like terms: 24c + -22c = 2c
-8 + 2c = 6 + 22c + -22c

Combine like terms: 22c + -22c = 0
-8 + 2c = 6 + 0
-8 + 2c = 6

Add '8' to each side of the equation.
-8 + 8 + 2c = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2c = 6 + 8
2c = 6 + 8

Combine like terms: 6 + 8 = 14
2c = 14

Divide each side by '2'.
c = 7

Simplifying
c = 7

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