34-(2c+4)=2(c+5)+c

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Solution for 34-(2c+4)=2(c+5)+c equation: 


Simplifying
34 + -1(2c + 4) = 2(c + 5) + c

Reorder the terms:
34 + -1(4 + 2c) = 2(c + 5) + c
34 + (4 * -1 + 2c * -1) = 2(c + 5) + c
34 + (-4 + -2c) = 2(c + 5) + c

Combine like terms: 34 + -4 = 30
30 + -2c = 2(c + 5) + c

Reorder the terms:
30 + -2c = 2(5 + c) + c
30 + -2c = (5 * 2 + c * 2) + c
30 + -2c = (10 + 2c) + c

Combine like terms: 2c + c = 3c
30 + -2c = 10 + 3c

Solving
30 + -2c = 10 + 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.
30 + -2c + -3c = 10 + 3c + -3c

Combine like terms: -2c + -3c = -5c
30 + -5c = 10 + 3c + -3c

Combine like terms: 3c + -3c = 0
30 + -5c = 10 + 0
30 + -5c = 10

Add '-30' to each side of the equation.
30 + -30 + -5c = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -5c = 10 + -30
-5c = 10 + -30

Combine like terms: 10 + -30 = -20
-5c = -20

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

Simplifying
c = 4

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