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Simplifying -5(15g + -20) = 5(-10 + -12g) Reorder the terms: -5(-20 + 15g) = 5(-10 + -12g) (-20 * -5 + 15g * -5) = 5(-10 + -12g) (100 + -75g) = 5(-10 + -12g) 100 + -75g = (-10 * 5 + -12g * 5) 100 + -75g = (-50 + -60g) Solving 100 + -75g = -50 + -60g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '60g' to each side of the equation. 100 + -75g + 60g = -50 + -60g + 60g Combine like terms: -75g + 60g = -15g 100 + -15g = -50 + -60g + 60g Combine like terms: -60g + 60g = 0 100 + -15g = -50 + 0 100 + -15g = -50 Add '-100' to each side of the equation. 100 + -100 + -15g = -50 + -100 Combine like terms: 100 + -100 = 0 0 + -15g = -50 + -100 -15g = -50 + -100 Combine like terms: -50 + -100 = -150 -15g = -150 Divide each side by '-15'. g = 10 Simplifying g = 10
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