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Simplifying (3g + -7) + 12 = -6 + 4g Reorder the terms: (-7 + 3g) + 12 = -6 + 4g Remove parenthesis around (-7 + 3g) -7 + 3g + 12 = -6 + 4g Reorder the terms: -7 + 12 + 3g = -6 + 4g Combine like terms: -7 + 12 = 5 5 + 3g = -6 + 4g Solving 5 + 3g = -6 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 5 + 3g + -4g = -6 + 4g + -4g Combine like terms: 3g + -4g = -1g 5 + -1g = -6 + 4g + -4g Combine like terms: 4g + -4g = 0 5 + -1g = -6 + 0 5 + -1g = -6 Add '-5' to each side of the equation. 5 + -5 + -1g = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = -6 + -5 -1g = -6 + -5 Combine like terms: -6 + -5 = -11 -1g = -11 Divide each side by '-1'. g = 11 Simplifying g = 11
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