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Simplifying 3 + (5h + 2) * 0.4 = 0 Reorder the terms: 3 + (2 + 5h) * 0.4 = 0 Reorder the terms for easier multiplication: 3 + 0.4(2 + 5h) = 0 3 + (2 * 0.4 + 5h * 0.4) = 0 3 + (0.8 + 2h) = 0 Combine like terms: 3 + 0.8 = 3.8 3.8 + 2h = 0 Solving 3.8 + 2h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + 2h = 0 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 2h = 0 + -3.8 2h = 0 + -3.8 Combine like terms: 0 + -3.8 = -3.8 2h = -3.8 Divide each side by '2'. h = -1.9 Simplifying h = -1.9
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