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Simplifying 3(h + 5) = 6(4 + -1h) Reorder the terms: 3(5 + h) = 6(4 + -1h) (5 * 3 + h * 3) = 6(4 + -1h) (15 + 3h) = 6(4 + -1h) 15 + 3h = (4 * 6 + -1h * 6) 15 + 3h = (24 + -6h) Solving 15 + 3h = 24 + -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. 15 + 3h + 6h = 24 + -6h + 6h Combine like terms: 3h + 6h = 9h 15 + 9h = 24 + -6h + 6h Combine like terms: -6h + 6h = 0 15 + 9h = 24 + 0 15 + 9h = 24 Add '-15' to each side of the equation. 15 + -15 + 9h = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 9h = 24 + -15 9h = 24 + -15 Combine like terms: 24 + -15 = 9 9h = 9 Divide each side by '9'. h = 1 Simplifying h = 1
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