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Simplifying 0.576 = -1.8h + 0.06(1.1 + -4h) 0.576 = -1.8h + (1.1 * 0.06 + -4h * 0.06) 0.576 = -1.8h + (0.066 + -0.24h) Reorder the terms: 0.576 = 0.066 + -1.8h + -0.24h Combine like terms: -1.8h + -0.24h = -2.04h 0.576 = 0.066 + -2.04h Solving 0.576 = 0.066 + -2.04h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2.04h' to each side of the equation. 0.576 + 2.04h = 0.066 + -2.04h + 2.04h Combine like terms: -2.04h + 2.04h = 0.00 0.576 + 2.04h = 0.066 + 0.00 0.576 + 2.04h = 0.066 Add '-0.576' to each side of the equation. 0.576 + -0.576 + 2.04h = 0.066 + -0.576 Combine like terms: 0.576 + -0.576 = 0.000 0.000 + 2.04h = 0.066 + -0.576 2.04h = 0.066 + -0.576 Combine like terms: 0.066 + -0.576 = -0.51 2.04h = -0.51 Divide each side by '2.04'. h = -0.25 Simplifying h = -0.25
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