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Simplifying -9(3g + 18) + 20g = 5(16g + -15) Reorder the terms: -9(18 + 3g) + 20g = 5(16g + -15) (18 * -9 + 3g * -9) + 20g = 5(16g + -15) (-162 + -27g) + 20g = 5(16g + -15) Combine like terms: -27g + 20g = -7g -162 + -7g = 5(16g + -15) Reorder the terms: -162 + -7g = 5(-15 + 16g) -162 + -7g = (-15 * 5 + 16g * 5) -162 + -7g = (-75 + 80g) Solving -162 + -7g = -75 + 80g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-80g' to each side of the equation. -162 + -7g + -80g = -75 + 80g + -80g Combine like terms: -7g + -80g = -87g -162 + -87g = -75 + 80g + -80g Combine like terms: 80g + -80g = 0 -162 + -87g = -75 + 0 -162 + -87g = -75 Add '162' to each side of the equation. -162 + 162 + -87g = -75 + 162 Combine like terms: -162 + 162 = 0 0 + -87g = -75 + 162 -87g = -75 + 162 Combine like terms: -75 + 162 = 87 -87g = 87 Divide each side by '-87'. g = -1 Simplifying g = -1
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