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Simplifying -5(2h + 15) + -5 = 5(-4h + 6) Reorder the terms: -5(15 + 2h) + -5 = 5(-4h + 6) (15 * -5 + 2h * -5) + -5 = 5(-4h + 6) (-75 + -10h) + -5 = 5(-4h + 6) Reorder the terms: -75 + -5 + -10h = 5(-4h + 6) Combine like terms: -75 + -5 = -80 -80 + -10h = 5(-4h + 6) Reorder the terms: -80 + -10h = 5(6 + -4h) -80 + -10h = (6 * 5 + -4h * 5) -80 + -10h = (30 + -20h) Solving -80 + -10h = 30 + -20h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20h' to each side of the equation. -80 + -10h + 20h = 30 + -20h + 20h Combine like terms: -10h + 20h = 10h -80 + 10h = 30 + -20h + 20h Combine like terms: -20h + 20h = 0 -80 + 10h = 30 + 0 -80 + 10h = 30 Add '80' to each side of the equation. -80 + 80 + 10h = 30 + 80 Combine like terms: -80 + 80 = 0 0 + 10h = 30 + 80 10h = 30 + 80 Combine like terms: 30 + 80 = 110 10h = 110 Divide each side by '10'. h = 11 Simplifying h = 11
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