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Simplifying 5(h + 2) = 4(h + 3) Reorder the terms: 5(2 + h) = 4(h + 3) (2 * 5 + h * 5) = 4(h + 3) (10 + 5h) = 4(h + 3) Reorder the terms: 10 + 5h = 4(3 + h) 10 + 5h = (3 * 4 + h * 4) 10 + 5h = (12 + 4h) Solving 10 + 5h = 12 + 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. 10 + 5h + -4h = 12 + 4h + -4h Combine like terms: 5h + -4h = 1h 10 + 1h = 12 + 4h + -4h Combine like terms: 4h + -4h = 0 10 + 1h = 12 + 0 10 + 1h = 12 Add '-10' to each side of the equation. 10 + -10 + 1h = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1h = 12 + -10 1h = 12 + -10 Combine like terms: 12 + -10 = 2 1h = 2 Divide each side by '1'. h = 2 Simplifying h = 2
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