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Simplifying 50 + 0.75k = 25 + 1.25k Solving 50 + 0.75k = 25 + 1.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.25k' to each side of the equation. 50 + 0.75k + -1.25k = 25 + 1.25k + -1.25k Combine like terms: 0.75k + -1.25k = -0.5k 50 + -0.5k = 25 + 1.25k + -1.25k Combine like terms: 1.25k + -1.25k = 0.00 50 + -0.5k = 25 + 0.00 50 + -0.5k = 25 Add '-50' to each side of the equation. 50 + -50 + -0.5k = 25 + -50 Combine like terms: 50 + -50 = 0 0 + -0.5k = 25 + -50 -0.5k = 25 + -50 Combine like terms: 25 + -50 = -25 -0.5k = -25 Divide each side by '-0.5'. k = 50 Simplifying k = 50
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