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Simplifying 0.5(10 + -8h) = h (10 * 0.5 + -8h * 0.5) = h (5 + -4h) = h Solving 5 + -4h = h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 5 + -4h + -1h = h + -1h Combine like terms: -4h + -1h = -5h 5 + -5h = h + -1h Combine like terms: h + -1h = 0 5 + -5h = 0 Add '-5' to each side of the equation. 5 + -5 + -5h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5h = 0 + -5 -5h = 0 + -5 Combine like terms: 0 + -5 = -5 -5h = -5 Divide each side by '-5'. h = 1 Simplifying h = 1
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