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Simplifying 6(18g + 9) = -12g + -9(-11g + 15) Reorder the terms: 6(9 + 18g) = -12g + -9(-11g + 15) (9 * 6 + 18g * 6) = -12g + -9(-11g + 15) (54 + 108g) = -12g + -9(-11g + 15) Reorder the terms: 54 + 108g = -12g + -9(15 + -11g) 54 + 108g = -12g + (15 * -9 + -11g * -9) 54 + 108g = -12g + (-135 + 99g) Reorder the terms: 54 + 108g = -135 + -12g + 99g Combine like terms: -12g + 99g = 87g 54 + 108g = -135 + 87g Solving 54 + 108g = -135 + 87g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-87g' to each side of the equation. 54 + 108g + -87g = -135 + 87g + -87g Combine like terms: 108g + -87g = 21g 54 + 21g = -135 + 87g + -87g Combine like terms: 87g + -87g = 0 54 + 21g = -135 + 0 54 + 21g = -135 Add '-54' to each side of the equation. 54 + -54 + 21g = -135 + -54 Combine like terms: 54 + -54 = 0 0 + 21g = -135 + -54 21g = -135 + -54 Combine like terms: -135 + -54 = -189 21g = -189 Divide each side by '21'. g = -9 Simplifying g = -9
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