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Simplifying 3h + 4(2 + -1h) = 4h + 5 3h + (2 * 4 + -1h * 4) = 4h + 5 3h + (8 + -4h) = 4h + 5 Reorder the terms: 8 + 3h + -4h = 4h + 5 Combine like terms: 3h + -4h = -1h 8 + -1h = 4h + 5 Reorder the terms: 8 + -1h = 5 + 4h Solving 8 + -1h = 5 + 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. 8 + -1h + -4h = 5 + 4h + -4h Combine like terms: -1h + -4h = -5h 8 + -5h = 5 + 4h + -4h Combine like terms: 4h + -4h = 0 8 + -5h = 5 + 0 8 + -5h = 5 Add '-8' to each side of the equation. 8 + -8 + -5h = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -5h = 5 + -8 -5h = 5 + -8 Combine like terms: 5 + -8 = -3 -5h = -3 Divide each side by '-5'. h = 0.6 Simplifying h = 0.6
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