4(4c-1)-6=14c+4

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Solution for 4(4c-1)-6=14c+4 equation:


Simplifying
4(4c + -1) + -6 = 14c + 4

Reorder the terms:
4(-1 + 4c) + -6 = 14c + 4
(-1 * 4 + 4c * 4) + -6 = 14c + 4
(-4 + 16c) + -6 = 14c + 4

Reorder the terms:
-4 + -6 + 16c = 14c + 4

Combine like terms: -4 + -6 = -10
-10 + 16c = 14c + 4

Reorder the terms:
-10 + 16c = 4 + 14c

Solving
-10 + 16c = 4 + 14c

Solving for variable 'c'.

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

Add '-14c' to each side of the equation.
-10 + 16c + -14c = 4 + 14c + -14c

Combine like terms: 16c + -14c = 2c
-10 + 2c = 4 + 14c + -14c

Combine like terms: 14c + -14c = 0
-10 + 2c = 4 + 0
-10 + 2c = 4

Add '10' to each side of the equation.
-10 + 10 + 2c = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2c = 4 + 10
2c = 4 + 10

Combine like terms: 4 + 10 = 14
2c = 14

Divide each side by '2'.
c = 7

Simplifying
c = 7

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