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Simplifying 0.16h + 0.4(2000) = 0.22(2000) + h Multiply 0.4 * 2000 0.16h + 800 = 0.22(2000) + h Reorder the terms: 800 + 0.16h = 0.22(2000) + h Multiply 0.22 * 2000 800 + 0.16h = 440 + h Solving 800 + 0.16h = 440 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. 800 + 0.16h + -1h = 440 + h + -1h Combine like terms: 0.16h + -1h = -0.84h 800 + -0.84h = 440 + h + -1h Combine like terms: h + -1h = 0 800 + -0.84h = 440 + 0 800 + -0.84h = 440 Add '-800' to each side of the equation. 800 + -800 + -0.84h = 440 + -800 Combine like terms: 800 + -800 = 0 0 + -0.84h = 440 + -800 -0.84h = 440 + -800 Combine like terms: 440 + -800 = -360 -0.84h = -360 Divide each side by '-0.84'. h = 428.5714286 Simplifying h = 428.5714286
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