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Simplifying 3(h + 1.5) = 4h + h + -3.5 Reorder the terms: 3(1.5 + h) = 4h + h + -3.5 (1.5 * 3 + h * 3) = 4h + h + -3.5 (4.5 + 3h) = 4h + h + -3.5 Reorder the terms: 4.5 + 3h = -3.5 + 4h + h Combine like terms: 4h + h = 5h 4.5 + 3h = -3.5 + 5h Solving 4.5 + 3h = -3.5 + 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. 4.5 + 3h + -5h = -3.5 + 5h + -5h Combine like terms: 3h + -5h = -2h 4.5 + -2h = -3.5 + 5h + -5h Combine like terms: 5h + -5h = 0 4.5 + -2h = -3.5 + 0 4.5 + -2h = -3.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -2h = -3.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2h = -3.5 + -4.5 -2h = -3.5 + -4.5 Combine like terms: -3.5 + -4.5 = -8 -2h = -8 Divide each side by '-2'. h = 4 Simplifying h = 4
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