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Simplifying 6(h + 5) = 12 + 5h + -6 Reorder the terms: 6(5 + h) = 12 + 5h + -6 (5 * 6 + h * 6) = 12 + 5h + -6 (30 + 6h) = 12 + 5h + -6 Reorder the terms: 30 + 6h = 12 + -6 + 5h Combine like terms: 12 + -6 = 6 30 + 6h = 6 + 5h Solving 30 + 6h = 6 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 30 + 6h + -5h = 6 + 5h + -5h Combine like terms: 6h + -5h = 1h 30 + 1h = 6 + 5h + -5h Combine like terms: 5h + -5h = 0 30 + 1h = 6 + 0 30 + 1h = 6 Add '-30' to each side of the equation. 30 + -30 + 1h = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 1h = 6 + -30 1h = 6 + -30 Combine like terms: 6 + -30 = -24 1h = -24 Divide each side by '1'. h = -24 Simplifying h = -24
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