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Simplifying 8(2h + 5) = 2(3h + 5) Reorder the terms: 8(5 + 2h) = 2(3h + 5) (5 * 8 + 2h * 8) = 2(3h + 5) (40 + 16h) = 2(3h + 5) Reorder the terms: 40 + 16h = 2(5 + 3h) 40 + 16h = (5 * 2 + 3h * 2) 40 + 16h = (10 + 6h) Solving 40 + 16h = 10 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 40 + 16h + -6h = 10 + 6h + -6h Combine like terms: 16h + -6h = 10h 40 + 10h = 10 + 6h + -6h Combine like terms: 6h + -6h = 0 40 + 10h = 10 + 0 40 + 10h = 10 Add '-40' to each side of the equation. 40 + -40 + 10h = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 10h = 10 + -40 10h = 10 + -40 Combine like terms: 10 + -40 = -30 10h = -30 Divide each side by '10'. h = -3 Simplifying h = -3
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