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Simplifying 5(h + 2) + 3(h + 4) = 78 Reorder the terms: 5(2 + h) + 3(h + 4) = 78 (2 * 5 + h * 5) + 3(h + 4) = 78 (10 + 5h) + 3(h + 4) = 78 Reorder the terms: 10 + 5h + 3(4 + h) = 78 10 + 5h + (4 * 3 + h * 3) = 78 10 + 5h + (12 + 3h) = 78 Reorder the terms: 10 + 12 + 5h + 3h = 78 Combine like terms: 10 + 12 = 22 22 + 5h + 3h = 78 Combine like terms: 5h + 3h = 8h 22 + 8h = 78 Solving 22 + 8h = 78 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8h = 78 + -22 Combine like terms: 22 + -22 = 0 0 + 8h = 78 + -22 8h = 78 + -22 Combine like terms: 78 + -22 = 56 8h = 56 Divide each side by '8'. h = 7 Simplifying h = 7
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