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Simplifying 9(g + 2) + -1(g + 2) = 0 Reorder the terms: 9(2 + g) + -1(g + 2) = 0 (2 * 9 + g * 9) + -1(g + 2) = 0 (18 + 9g) + -1(g + 2) = 0 Reorder the terms: 18 + 9g + -1(2 + g) = 0 18 + 9g + (2 * -1 + g * -1) = 0 18 + 9g + (-2 + -1g) = 0 Reorder the terms: 18 + -2 + 9g + -1g = 0 Combine like terms: 18 + -2 = 16 16 + 9g + -1g = 0 Combine like terms: 9g + -1g = 8g 16 + 8g = 0 Solving 16 + 8g = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8g = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8g = 0 + -16 8g = 0 + -16 Combine like terms: 0 + -16 = -16 8g = -16 Divide each side by '8'. g = -2 Simplifying g = -2
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