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