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Simplifying 5(h + 3) = 3(h + -5) Reorder the terms: 5(3 + h) = 3(h + -5) (3 * 5 + h * 5) = 3(h + -5) (15 + 5h) = 3(h + -5) Reorder the terms: 15 + 5h = 3(-5 + h) 15 + 5h = (-5 * 3 + h * 3) 15 + 5h = (-15 + 3h) Solving 15 + 5h = -15 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 15 + 5h + -3h = -15 + 3h + -3h Combine like terms: 5h + -3h = 2h 15 + 2h = -15 + 3h + -3h Combine like terms: 3h + -3h = 0 15 + 2h = -15 + 0 15 + 2h = -15 Add '-15' to each side of the equation. 15 + -15 + 2h = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 2h = -15 + -15 2h = -15 + -15 Combine like terms: -15 + -15 = -30 2h = -30 Divide each side by '2'. h = -15 Simplifying h = -15
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