18(6c-1)-2=106c+18

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Solution for 18(6c-1)-2=106c+18 equation:


Simplifying
18(6c + -1) + -2 = 106c + 18

Reorder the terms:
18(-1 + 6c) + -2 = 106c + 18
(-1 * 18 + 6c * 18) + -2 = 106c + 18
(-18 + 108c) + -2 = 106c + 18

Reorder the terms:
-18 + -2 + 108c = 106c + 18

Combine like terms: -18 + -2 = -20
-20 + 108c = 106c + 18

Reorder the terms:
-20 + 108c = 18 + 106c

Solving
-20 + 108c = 18 + 106c

Solving for variable 'c'.

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

Add '-106c' to each side of the equation.
-20 + 108c + -106c = 18 + 106c + -106c

Combine like terms: 108c + -106c = 2c
-20 + 2c = 18 + 106c + -106c

Combine like terms: 106c + -106c = 0
-20 + 2c = 18 + 0
-20 + 2c = 18

Add '20' to each side of the equation.
-20 + 20 + 2c = 18 + 20

Combine like terms: -20 + 20 = 0
0 + 2c = 18 + 20
2c = 18 + 20

Combine like terms: 18 + 20 = 38
2c = 38

Divide each side by '2'.
c = 19

Simplifying
c = 19

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