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Simplifying -2g + 15 = 10 + -1(4g + 1) Reorder the terms: 15 + -2g = 10 + -1(4g + 1) Reorder the terms: 15 + -2g = 10 + -1(1 + 4g) 15 + -2g = 10 + (1 * -1 + 4g * -1) 15 + -2g = 10 + (-1 + -4g) Combine like terms: 10 + -1 = 9 15 + -2g = 9 + -4g Solving 15 + -2g = 9 + -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. 15 + -2g + 4g = 9 + -4g + 4g Combine like terms: -2g + 4g = 2g 15 + 2g = 9 + -4g + 4g Combine like terms: -4g + 4g = 0 15 + 2g = 9 + 0 15 + 2g = 9 Add '-15' to each side of the equation. 15 + -15 + 2g = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 2g = 9 + -15 2g = 9 + -15 Combine like terms: 9 + -15 = -6 2g = -6 Divide each side by '2'. g = -3 Simplifying g = -3
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