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Simplifying 0.576 = -1.8h + 0.006(1.1 + -4h) 0.576 = -1.8h + (1.1 * 0.006 + -4h * 0.006) 0.576 = -1.8h + (0.0066 + -0.024h) Reorder the terms: 0.576 = 0.0066 + -1.8h + -0.024h Combine like terms: -1.8h + -0.024h = -1.824h 0.576 = 0.0066 + -1.824h Solving 0.576 = 0.0066 + -1.824h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1.824h' to each side of the equation. 0.576 + 1.824h = 0.0066 + -1.824h + 1.824h Combine like terms: -1.824h + 1.824h = 0.000 0.576 + 1.824h = 0.0066 + 0.000 0.576 + 1.824h = 0.0066 Add '-0.576' to each side of the equation. 0.576 + -0.576 + 1.824h = 0.0066 + -0.576 Combine like terms: 0.576 + -0.576 = 0.000 0.000 + 1.824h = 0.0066 + -0.576 1.824h = 0.0066 + -0.576 Combine like terms: 0.0066 + -0.576 = -0.5694 1.824h = -0.5694 Divide each side by '1.824'. h = -0.3121710526 Simplifying h = -0.3121710526
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