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Simplifying 3.2h + 24 = -1.3(12 + h) Reorder the terms: 24 + 3.2h = -1.3(12 + h) 24 + 3.2h = (12 * -1.3 + h * -1.3) 24 + 3.2h = (-15.6 + -1.3h) Solving 24 + 3.2h = -15.6 + -1.3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1.3h' to each side of the equation. 24 + 3.2h + 1.3h = -15.6 + -1.3h + 1.3h Combine like terms: 3.2h + 1.3h = 4.5h 24 + 4.5h = -15.6 + -1.3h + 1.3h Combine like terms: -1.3h + 1.3h = 0.0 24 + 4.5h = -15.6 + 0.0 24 + 4.5h = -15.6 Add '-24' to each side of the equation. 24 + -24 + 4.5h = -15.6 + -24 Combine like terms: 24 + -24 = 0 0 + 4.5h = -15.6 + -24 4.5h = -15.6 + -24 Combine like terms: -15.6 + -24 = -39.6 4.5h = -39.6 Divide each side by '4.5'. h = -8.8 Simplifying h = -8.8
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