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Simplifying -2g + 15 = 10 + -1(-1g + 1) Reorder the terms: 15 + -2g = 10 + -1(-1g + 1) Reorder the terms: 15 + -2g = 10 + -1(1 + -1g) 15 + -2g = 10 + (1 * -1 + -1g * -1) 15 + -2g = 10 + (-1 + 1g) Combine like terms: 10 + -1 = 9 15 + -2g = 9 + 1g Solving 15 + -2g = 9 + 1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 15 + -2g + -1g = 9 + 1g + -1g Combine like terms: -2g + -1g = -3g 15 + -3g = 9 + 1g + -1g Combine like terms: 1g + -1g = 0 15 + -3g = 9 + 0 15 + -3g = 9 Add '-15' to each side of the equation. 15 + -15 + -3g = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3g = 9 + -15 -3g = 9 + -15 Combine like terms: 9 + -15 = -6 -3g = -6 Divide each side by '-3'. g = 2 Simplifying g = 2
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