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Simplifying -8g + 15 + 18g = 16g + 9(-1g + 6) Reorder the terms: 15 + -8g + 18g = 16g + 9(-1g + 6) Combine like terms: -8g + 18g = 10g 15 + 10g = 16g + 9(-1g + 6) Reorder the terms: 15 + 10g = 16g + 9(6 + -1g) 15 + 10g = 16g + (6 * 9 + -1g * 9) 15 + 10g = 16g + (54 + -9g) Reorder the terms: 15 + 10g = 54 + 16g + -9g Combine like terms: 16g + -9g = 7g 15 + 10g = 54 + 7g Solving 15 + 10g = 54 + 7g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7g' to each side of the equation. 15 + 10g + -7g = 54 + 7g + -7g Combine like terms: 10g + -7g = 3g 15 + 3g = 54 + 7g + -7g Combine like terms: 7g + -7g = 0 15 + 3g = 54 + 0 15 + 3g = 54 Add '-15' to each side of the equation. 15 + -15 + 3g = 54 + -15 Combine like terms: 15 + -15 = 0 0 + 3g = 54 + -15 3g = 54 + -15 Combine like terms: 54 + -15 = 39 3g = 39 Divide each side by '3'. g = 13 Simplifying g = 13
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