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Simplifying 5h + 3(h + -2) = 6(h + 5) Reorder the terms: 5h + 3(-2 + h) = 6(h + 5) 5h + (-2 * 3 + h * 3) = 6(h + 5) 5h + (-6 + 3h) = 6(h + 5) Reorder the terms: -6 + 5h + 3h = 6(h + 5) Combine like terms: 5h + 3h = 8h -6 + 8h = 6(h + 5) Reorder the terms: -6 + 8h = 6(5 + h) -6 + 8h = (5 * 6 + h * 6) -6 + 8h = (30 + 6h) Solving -6 + 8h = 30 + 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. -6 + 8h + -6h = 30 + 6h + -6h Combine like terms: 8h + -6h = 2h -6 + 2h = 30 + 6h + -6h Combine like terms: 6h + -6h = 0 -6 + 2h = 30 + 0 -6 + 2h = 30 Add '6' to each side of the equation. -6 + 6 + 2h = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 2h = 30 + 6 2h = 30 + 6 Combine like terms: 30 + 6 = 36 2h = 36 Divide each side by '2'. h = 18 Simplifying h = 18
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