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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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