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Simplifying 0.75k + 80 = 0.5k + 120 Reorder the terms: 80 + 0.75k = 0.5k + 120 Reorder the terms: 80 + 0.75k = 120 + 0.5k Solving 80 + 0.75k = 120 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 80 + 0.75k + -0.5k = 120 + 0.5k + -0.5k Combine like terms: 0.75k + -0.5k = 0.25k 80 + 0.25k = 120 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 80 + 0.25k = 120 + 0.0 80 + 0.25k = 120 Add '-80' to each side of the equation. 80 + -80 + 0.25k = 120 + -80 Combine like terms: 80 + -80 = 0 0 + 0.25k = 120 + -80 0.25k = 120 + -80 Combine like terms: 120 + -80 = 40 0.25k = 40 Divide each side by '0.25'. k = 160 Simplifying k = 160
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