(12g+17h+20)+(2g+11h+22)=

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Solution for (12g+17h+20)+(2g+11h+22)= equation:


Simplifying
(12g + 17h + 20) + (2g + 11h + 22) = 0

Reorder the terms:
(20 + 12g + 17h) + (2g + 11h + 22) = 0

Remove parenthesis around (20 + 12g + 17h)
20 + 12g + 17h + (2g + 11h + 22) = 0

Reorder the terms:
20 + 12g + 17h + (22 + 2g + 11h) = 0

Remove parenthesis around (22 + 2g + 11h)
20 + 12g + 17h + 22 + 2g + 11h = 0

Reorder the terms:
20 + 22 + 12g + 2g + 17h + 11h = 0

Combine like terms: 20 + 22 = 42
42 + 12g + 2g + 17h + 11h = 0

Combine like terms: 12g + 2g = 14g
42 + 14g + 17h + 11h = 0

Combine like terms: 17h + 11h = 28h
42 + 14g + 28h = 0

Solving
42 + 14g + 28h = 0

Solving for variable 'g'.

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

Add '-42' to each side of the equation.
42 + 14g + -42 + 28h = 0 + -42

Reorder the terms:
42 + -42 + 14g + 28h = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 14g + 28h = 0 + -42
14g + 28h = 0 + -42

Combine like terms: 0 + -42 = -42
14g + 28h = -42

Add '-28h' to each side of the equation.
14g + 28h + -28h = -42 + -28h

Combine like terms: 28h + -28h = 0
14g + 0 = -42 + -28h
14g = -42 + -28h

Divide each side by '14'.
g = -3 + -2h

Simplifying
g = -3 + -2h

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