g+(3-9)+7+(3-g)+2(7+(3-g))=74

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Solution for g+(3-9)+7+(3-g)+2(7+(3-g))=74 equation:


Simplifying
g + (3 + -9) + 7 + (3 + -1g) + 2(7 + (3 + -1g)) = 74

Combine like terms: 3 + -9 = -6
g + (-6) + 7 + (3 + -1g) + 2(7 + (3 + -1g)) = 74
g + -6 + 7 + (3 + -1g) + 2(7 + (3 + -1g)) = 74

Remove parenthesis around (3 + -1g)
g + -6 + 7 + 3 + -1g + 2(7 + (3 + -1g)) = 74

Remove parenthesis around (3 + -1g)
g + -6 + 7 + 3 + -1g + 2(7 + 3 + -1g) = 74

Combine like terms: 7 + 3 = 10
g + -6 + 7 + 3 + -1g + 2(10 + -1g) = 74
g + -6 + 7 + 3 + -1g + (10 * 2 + -1g * 2) = 74
g + -6 + 7 + 3 + -1g + (20 + -2g) = 74

Reorder the terms:
-6 + 7 + 3 + 20 + g + -1g + -2g = 74

Combine like terms: -6 + 7 = 1
1 + 3 + 20 + g + -1g + -2g = 74

Combine like terms: 1 + 3 = 4
4 + 20 + g + -1g + -2g = 74

Combine like terms: 4 + 20 = 24
24 + g + -1g + -2g = 74

Combine like terms: g + -1g = 0
24 + 0 + -2g = 74
24 + -2g = 74

Solving
24 + -2g = 74

Solving for variable 'g'.

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

Add '-24' to each side of the equation.
24 + -24 + -2g = 74 + -24

Combine like terms: 24 + -24 = 0
0 + -2g = 74 + -24
-2g = 74 + -24

Combine like terms: 74 + -24 = 50
-2g = 50

Divide each side by '-2'.
g = -25

Simplifying
g = -25

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