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Simplifying -15 = -5h + 0.4(40 + 3h) -15 = -5h + (40 * 0.4 + 3h * 0.4) -15 = -5h + (16 + 1.2h) Reorder the terms: -15 = 16 + -5h + 1.2h Combine like terms: -5h + 1.2h = -3.8h -15 = 16 + -3.8h Solving -15 = 16 + -3.8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3.8h' to each side of the equation. -15 + 3.8h = 16 + -3.8h + 3.8h Combine like terms: -3.8h + 3.8h = 0.0 -15 + 3.8h = 16 + 0.0 -15 + 3.8h = 16 Add '15' to each side of the equation. -15 + 15 + 3.8h = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 3.8h = 16 + 15 3.8h = 16 + 15 Combine like terms: 16 + 15 = 31 3.8h = 31 Divide each side by '3.8'. h = 8.157894737 Simplifying h = 8.157894737
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