4(4c-1)-6=12c+6

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Solution for 4(4c-1)-6=12c+6 equation:


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

Reorder the terms:
4(-1 + 4c) + -6 = 12c + 6
(-1 * 4 + 4c * 4) + -6 = 12c + 6
(-4 + 16c) + -6 = 12c + 6

Reorder the terms:
-4 + -6 + 16c = 12c + 6

Combine like terms: -4 + -6 = -10
-10 + 16c = 12c + 6

Reorder the terms:
-10 + 16c = 6 + 12c

Solving
-10 + 16c = 6 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
-10 + 16c + -12c = 6 + 12c + -12c

Combine like terms: 16c + -12c = 4c
-10 + 4c = 6 + 12c + -12c

Combine like terms: 12c + -12c = 0
-10 + 4c = 6 + 0
-10 + 4c = 6

Add '10' to each side of the equation.
-10 + 10 + 4c = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 4c = 6 + 10
4c = 6 + 10

Combine like terms: 6 + 10 = 16
4c = 16

Divide each side by '4'.
c = 4

Simplifying
c = 4

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