39=3(5c-11)-10c+22

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Solution for 39=3(5c-11)-10c+22 equation:


Simplifying
39 = 3(5c + -11) + -10c + 22

Reorder the terms:
39 = 3(-11 + 5c) + -10c + 22
39 = (-11 * 3 + 5c * 3) + -10c + 22
39 = (-33 + 15c) + -10c + 22

Reorder the terms:
39 = -33 + 22 + 15c + -10c

Combine like terms: -33 + 22 = -11
39 = -11 + 15c + -10c

Combine like terms: 15c + -10c = 5c
39 = -11 + 5c

Solving
39 = -11 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
39 + -5c = -11 + 5c + -5c

Combine like terms: 5c + -5c = 0
39 + -5c = -11 + 0
39 + -5c = -11

Add '-39' to each side of the equation.
39 + -39 + -5c = -11 + -39

Combine like terms: 39 + -39 = 0
0 + -5c = -11 + -39
-5c = -11 + -39

Combine like terms: -11 + -39 = -50
-5c = -50

Divide each side by '-5'.
c = 10

Simplifying
c = 10

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