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Simplifying 5(3 + h) = 4(h + 2) (3 * 5 + h * 5) = 4(h + 2) (15 + 5h) = 4(h + 2) Reorder the terms: 15 + 5h = 4(2 + h) 15 + 5h = (2 * 4 + h * 4) 15 + 5h = (8 + 4h) Solving 15 + 5h = 8 + 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. 15 + 5h + -4h = 8 + 4h + -4h Combine like terms: 5h + -4h = 1h 15 + 1h = 8 + 4h + -4h Combine like terms: 4h + -4h = 0 15 + 1h = 8 + 0 15 + 1h = 8 Add '-15' to each side of the equation. 15 + -15 + 1h = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1h = 8 + -15 1h = 8 + -15 Combine like terms: 8 + -15 = -7 1h = -7 Divide each side by '1'. h = -7 Simplifying h = -7
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