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Simplifying 0.6(h + -4) = 2.4 + 1.2h Reorder the terms: 0.6(-4 + h) = 2.4 + 1.2h (-4 * 0.6 + h * 0.6) = 2.4 + 1.2h (-2.4 + 0.6h) = 2.4 + 1.2h Solving -2.4 + 0.6h = 2.4 + 1.2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1.2h' to each side of the equation. -2.4 + 0.6h + -1.2h = 2.4 + 1.2h + -1.2h Combine like terms: 0.6h + -1.2h = -0.6h -2.4 + -0.6h = 2.4 + 1.2h + -1.2h Combine like terms: 1.2h + -1.2h = 0.0 -2.4 + -0.6h = 2.4 + 0.0 -2.4 + -0.6h = 2.4 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.6h = 2.4 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.6h = 2.4 + 2.4 -0.6h = 2.4 + 2.4 Combine like terms: 2.4 + 2.4 = 4.8 -0.6h = 4.8 Divide each side by '-0.6'. h = -8 Simplifying h = -8
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