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Simplifying 3(h + -4) = 0.5(24 + -6h) Reorder the terms: 3(-4 + h) = 0.5(24 + -6h) (-4 * 3 + h * 3) = 0.5(24 + -6h) (-12 + 3h) = 0.5(24 + -6h) -12 + 3h = (24 * 0.5 + -6h * 0.5) -12 + 3h = (12 + -3h) Solving -12 + 3h = 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. -12 + 3h + 3h = 12 + -3h + 3h Combine like terms: 3h + 3h = 6h -12 + 6h = 12 + -3h + 3h Combine like terms: -3h + 3h = 0 -12 + 6h = 12 + 0 -12 + 6h = 12 Add '12' to each side of the equation. -12 + 12 + 6h = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6h = 12 + 12 6h = 12 + 12 Combine like terms: 12 + 12 = 24 6h = 24 Divide each side by '6'. h = 4 Simplifying h = 4
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