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Simplifying 1.4(2h + 3) = 0.9(3h + -2) Reorder the terms: 1.4(3 + 2h) = 0.9(3h + -2) (3 * 1.4 + 2h * 1.4) = 0.9(3h + -2) (4.2 + 2.8h) = 0.9(3h + -2) Reorder the terms: 4.2 + 2.8h = 0.9(-2 + 3h) 4.2 + 2.8h = (-2 * 0.9 + 3h * 0.9) 4.2 + 2.8h = (-1.8 + 2.7h) Solving 4.2 + 2.8h = -1.8 + 2.7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2.7h' to each side of the equation. 4.2 + 2.8h + -2.7h = -1.8 + 2.7h + -2.7h Combine like terms: 2.8h + -2.7h = 0.1h 4.2 + 0.1h = -1.8 + 2.7h + -2.7h Combine like terms: 2.7h + -2.7h = 0.0 4.2 + 0.1h = -1.8 + 0.0 4.2 + 0.1h = -1.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.1h = -1.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.1h = -1.8 + -4.2 0.1h = -1.8 + -4.2 Combine like terms: -1.8 + -4.2 = -6 0.1h = -6 Divide each side by '0.1'. h = -60 Simplifying h = -60
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