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Simplifying 240 = (0.50)(H) + (0.40)(500 + -1H) 240 = 0.50H + (500 * 0.40 + -1H * 0.40) 240 = 0.50H + (200 + -0.4H) Reorder the terms: 240 = 200 + 0.50H + -0.4H Combine like terms: 0.50H + -0.4H = 0.1H 240 = 200 + 0.1H Solving 240 = 200 + 0.1H Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '-0.1H' to each side of the equation. 240 + -0.1H = 200 + 0.1H + -0.1H Combine like terms: 0.1H + -0.1H = 0.0 240 + -0.1H = 200 + 0.0 240 + -0.1H = 200 Add '-240' to each side of the equation. 240 + -240 + -0.1H = 200 + -240 Combine like terms: 240 + -240 = 0 0 + -0.1H = 200 + -240 -0.1H = 200 + -240 Combine like terms: 200 + -240 = -40 -0.1H = -40 Divide each side by '-0.1'. H = 400 Simplifying H = 400
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