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Simplifying 25 + 0.45k = 40 + 0.25k Solving 25 + 0.45k = 40 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. 25 + 0.45k + -0.25k = 40 + 0.25k + -0.25k Combine like terms: 0.45k + -0.25k = 0.2k 25 + 0.2k = 40 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 25 + 0.2k = 40 + 0.00 25 + 0.2k = 40 Add '-25' to each side of the equation. 25 + -25 + 0.2k = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 0.2k = 40 + -25 0.2k = 40 + -25 Combine like terms: 40 + -25 = 15 0.2k = 15 Divide each side by '0.2'. k = 75 Simplifying k = 75
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