3c+18=9c+2(4-c)

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Solution for 3c+18=9c+2(4-c) equation:


Simplifying
3c + 18 = 9c + 2(4 + -1c)

Reorder the terms:
18 + 3c = 9c + 2(4 + -1c)
18 + 3c = 9c + (4 * 2 + -1c * 2)
18 + 3c = 9c + (8 + -2c)

Reorder the terms:
18 + 3c = 8 + 9c + -2c

Combine like terms: 9c + -2c = 7c
18 + 3c = 8 + 7c

Solving
18 + 3c = 8 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
18 + 3c + -7c = 8 + 7c + -7c

Combine like terms: 3c + -7c = -4c
18 + -4c = 8 + 7c + -7c

Combine like terms: 7c + -7c = 0
18 + -4c = 8 + 0
18 + -4c = 8

Add '-18' to each side of the equation.
18 + -18 + -4c = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -4c = 8 + -18
-4c = 8 + -18

Combine like terms: 8 + -18 = -10
-4c = -10

Divide each side by '-4'.
c = 2.5

Simplifying
c = 2.5

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