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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 = 2.4 0.1h = 2.4 Divide each side by '0.1'. h = 24 Simplifying h = 24
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