2(5c+2)-2c=3(2c+9)+7

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Solution for 2(5c+2)-2c=3(2c+9)+7 equation: 


Simplifying
2(5c + 2) + -2c = 3(2c + 9) + 7

Reorder the terms:
2(2 + 5c) + -2c = 3(2c + 9) + 7
(2 * 2 + 5c * 2) + -2c = 3(2c + 9) + 7
(4 + 10c) + -2c = 3(2c + 9) + 7

Combine like terms: 10c + -2c = 8c
4 + 8c = 3(2c + 9) + 7

Reorder the terms:
4 + 8c = 3(9 + 2c) + 7
4 + 8c = (9 * 3 + 2c * 3) + 7
4 + 8c = (27 + 6c) + 7

Reorder the terms:
4 + 8c = 27 + 7 + 6c

Combine like terms: 27 + 7 = 34
4 + 8c = 34 + 6c

Solving
4 + 8c = 34 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
4 + 8c + -6c = 34 + 6c + -6c

Combine like terms: 8c + -6c = 2c
4 + 2c = 34 + 6c + -6c

Combine like terms: 6c + -6c = 0
4 + 2c = 34 + 0
4 + 2c = 34

Add '-4' to each side of the equation.
4 + -4 + 2c = 34 + -4

Combine like terms: 4 + -4 = 0
0 + 2c = 34 + -4
2c = 34 + -4

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

Divide each side by '2'.
c = 15

Simplifying
c = 15

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