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Simplifying 5.4h + 14.6 + -10.1h = 12.8 + -3.5h + -0.6 Reorder the terms: 14.6 + 5.4h + -10.1h = 12.8 + -3.5h + -0.6 Combine like terms: 5.4h + -10.1h = -4.7h 14.6 + -4.7h = 12.8 + -3.5h + -0.6 Reorder the terms: 14.6 + -4.7h = 12.8 + -0.6 + -3.5h Combine like terms: 12.8 + -0.6 = 12.2 14.6 + -4.7h = 12.2 + -3.5h Solving 14.6 + -4.7h = 12.2 + -3.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3.5h' to each side of the equation. 14.6 + -4.7h + 3.5h = 12.2 + -3.5h + 3.5h Combine like terms: -4.7h + 3.5h = -1.2h 14.6 + -1.2h = 12.2 + -3.5h + 3.5h Combine like terms: -3.5h + 3.5h = 0.0 14.6 + -1.2h = 12.2 + 0.0 14.6 + -1.2h = 12.2 Add '-14.6' to each side of the equation. 14.6 + -14.6 + -1.2h = 12.2 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -1.2h = 12.2 + -14.6 -1.2h = 12.2 + -14.6 Combine like terms: 12.2 + -14.6 = -2.4 -1.2h = -2.4 Divide each side by '-1.2'. h = 2 Simplifying h = 2
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