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Simplifying -2g + 15 = 10 + -1(4g + 10) Reorder the terms: 15 + -2g = 10 + -1(4g + 10) Reorder the terms: 15 + -2g = 10 + -1(10 + 4g) 15 + -2g = 10 + (10 * -1 + 4g * -1) 15 + -2g = 10 + (-10 + -4g) Combine like terms: 10 + -10 = 0 15 + -2g = 0 + -4g 15 + -2g = -4g Solving 15 + -2g = -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 = -4g + 4g Combine like terms: -2g + 4g = 2g 15 + 2g = -4g + 4g Combine like terms: -4g + 4g = 0 15 + 2g = 0 Add '-15' to each side of the equation. 15 + -15 + 2g = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2g = 0 + -15 2g = 0 + -15 Combine like terms: 0 + -15 = -15 2g = -15 Divide each side by '2'. g = -7.5 Simplifying g = -7.5
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