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Simplifying (h + -4) = 0.5(24 + -6h) Reorder the terms: (-4 + h) = 0.5(24 + -6h) Remove parenthesis around (-4 + h) -4 + h = 0.5(24 + -6h) -4 + h = (24 * 0.5 + -6h * 0.5) -4 + h = (12 + -3h) Solving -4 + h = 12 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -4 + h + 3h = 12 + -3h + 3h Combine like terms: h + 3h = 4h -4 + 4h = 12 + -3h + 3h Combine like terms: -3h + 3h = 0 -4 + 4h = 12 + 0 -4 + 4h = 12 Add '4' to each side of the equation. -4 + 4 + 4h = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4h = 12 + 4 4h = 12 + 4 Combine like terms: 12 + 4 = 16 4h = 16 Divide each side by '4'. h = 4 Simplifying h = 4
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