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Simplifying 5h + -3.4 = 4.1h + 5.42 Reorder the terms: -3.4 + 5h = 4.1h + 5.42 Reorder the terms: -3.4 + 5h = 5.42 + 4.1h Solving -3.4 + 5h = 5.42 + 4.1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4.1h' to each side of the equation. -3.4 + 5h + -4.1h = 5.42 + 4.1h + -4.1h Combine like terms: 5h + -4.1h = 0.9h -3.4 + 0.9h = 5.42 + 4.1h + -4.1h Combine like terms: 4.1h + -4.1h = 0.0 -3.4 + 0.9h = 5.42 + 0.0 -3.4 + 0.9h = 5.42 Add '3.4' to each side of the equation. -3.4 + 3.4 + 0.9h = 5.42 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 0.9h = 5.42 + 3.4 0.9h = 5.42 + 3.4 Combine like terms: 5.42 + 3.4 = 8.82 0.9h = 8.82 Divide each side by '0.9'. h = 9.8 Simplifying h = 9.8
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