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Simplifying 5(h + 7) = 3(h + 8) Reorder the terms: 5(7 + h) = 3(h + 8) (7 * 5 + h * 5) = 3(h + 8) (35 + 5h) = 3(h + 8) Reorder the terms: 35 + 5h = 3(8 + h) 35 + 5h = (8 * 3 + h * 3) 35 + 5h = (24 + 3h) Solving 35 + 5h = 24 + 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. 35 + 5h + -3h = 24 + 3h + -3h Combine like terms: 5h + -3h = 2h 35 + 2h = 24 + 3h + -3h Combine like terms: 3h + -3h = 0 35 + 2h = 24 + 0 35 + 2h = 24 Add '-35' to each side of the equation. 35 + -35 + 2h = 24 + -35 Combine like terms: 35 + -35 = 0 0 + 2h = 24 + -35 2h = 24 + -35 Combine like terms: 24 + -35 = -11 2h = -11 Divide each side by '2'. h = -5.5 Simplifying h = -5.5
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