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Simplifying -3(15 + 5g) = 5(-6g + 15) (15 * -3 + 5g * -3) = 5(-6g + 15) (-45 + -15g) = 5(-6g + 15) Reorder the terms: -45 + -15g = 5(15 + -6g) -45 + -15g = (15 * 5 + -6g * 5) -45 + -15g = (75 + -30g) Solving -45 + -15g = 75 + -30g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '30g' to each side of the equation. -45 + -15g + 30g = 75 + -30g + 30g Combine like terms: -15g + 30g = 15g -45 + 15g = 75 + -30g + 30g Combine like terms: -30g + 30g = 0 -45 + 15g = 75 + 0 -45 + 15g = 75 Add '45' to each side of the equation. -45 + 45 + 15g = 75 + 45 Combine like terms: -45 + 45 = 0 0 + 15g = 75 + 45 15g = 75 + 45 Combine like terms: 75 + 45 = 120 15g = 120 Divide each side by '15'. g = 8 Simplifying g = 8
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