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

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


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

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

Combine like terms: 4 + 18 = 22
22 + -2c = 2 + 3c

Solving
22 + -2c = 2 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
22 + -2c + -3c = 2 + 3c + -3c

Combine like terms: -2c + -3c = -5c
22 + -5c = 2 + 3c + -3c

Combine like terms: 3c + -3c = 0
22 + -5c = 2 + 0
22 + -5c = 2

Add '-22' to each side of the equation.
22 + -22 + -5c = 2 + -22

Combine like terms: 22 + -22 = 0
0 + -5c = 2 + -22
-5c = 2 + -22

Combine like terms: 2 + -22 = -20
-5c = -20

Divide each side by '-5'.
c = 4

Simplifying
c = 4

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