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Simplifying (3g + 2) + -1(-6g + -7) = 0 Reorder the terms: (2 + 3g) + -1(-6g + -7) = 0 Remove parenthesis around (2 + 3g) 2 + 3g + -1(-6g + -7) = 0 Reorder the terms: 2 + 3g + -1(-7 + -6g) = 0 2 + 3g + (-7 * -1 + -6g * -1) = 0 2 + 3g + (7 + 6g) = 0 Reorder the terms: 2 + 7 + 3g + 6g = 0 Combine like terms: 2 + 7 = 9 9 + 3g + 6g = 0 Combine like terms: 3g + 6g = 9g 9 + 9g = 0 Solving 9 + 9g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9g = 0 + -9 9g = 0 + -9 Combine like terms: 0 + -9 = -9 9g = -9 Divide each side by '9'. g = -1 Simplifying g = -1
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