6(8c-1)-14=46c+16

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Solution for 6(8c-1)-14=46c+16 equation:


Simplifying
6(8c + -1) + -14 = 46c + 16

Reorder the terms:
6(-1 + 8c) + -14 = 46c + 16
(-1 * 6 + 8c * 6) + -14 = 46c + 16
(-6 + 48c) + -14 = 46c + 16

Reorder the terms:
-6 + -14 + 48c = 46c + 16

Combine like terms: -6 + -14 = -20
-20 + 48c = 46c + 16

Reorder the terms:
-20 + 48c = 16 + 46c

Solving
-20 + 48c = 16 + 46c

Solving for variable 'c'.

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

Add '-46c' to each side of the equation.
-20 + 48c + -46c = 16 + 46c + -46c

Combine like terms: 48c + -46c = 2c
-20 + 2c = 16 + 46c + -46c

Combine like terms: 46c + -46c = 0
-20 + 2c = 16 + 0
-20 + 2c = 16

Add '20' to each side of the equation.
-20 + 20 + 2c = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 2c = 16 + 20
2c = 16 + 20

Combine like terms: 16 + 20 = 36
2c = 36

Divide each side by '2'.
c = 18

Simplifying
c = 18

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