4(6+c)-8=2(6c+5)+4

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Solution for 4(6+c)-8=2(6c+5)+4 equation:


Simplifying
4(6 + c) + -8 = 2(6c + 5) + 4
(6 * 4 + c * 4) + -8 = 2(6c + 5) + 4
(24 + 4c) + -8 = 2(6c + 5) + 4

Reorder the terms:
24 + -8 + 4c = 2(6c + 5) + 4

Combine like terms: 24 + -8 = 16
16 + 4c = 2(6c + 5) + 4

Reorder the terms:
16 + 4c = 2(5 + 6c) + 4
16 + 4c = (5 * 2 + 6c * 2) + 4
16 + 4c = (10 + 12c) + 4

Reorder the terms:
16 + 4c = 10 + 4 + 12c

Combine like terms: 10 + 4 = 14
16 + 4c = 14 + 12c

Solving
16 + 4c = 14 + 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.
16 + 4c + -12c = 14 + 12c + -12c

Combine like terms: 4c + -12c = -8c
16 + -8c = 14 + 12c + -12c

Combine like terms: 12c + -12c = 0
16 + -8c = 14 + 0
16 + -8c = 14

Add '-16' to each side of the equation.
16 + -16 + -8c = 14 + -16

Combine like terms: 16 + -16 = 0
0 + -8c = 14 + -16
-8c = 14 + -16

Combine like terms: 14 + -16 = -2
-8c = -2

Divide each side by '-8'.
c = 0.25

Simplifying
c = 0.25

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