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Simplifying 25k + 0.45 = 40k + 0.25 Reorder the terms: 0.45 + 25k = 40k + 0.25 Reorder the terms: 0.45 + 25k = 0.25 + 40k Solving 0.45 + 25k = 0.25 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 0.45 + 25k + -40k = 0.25 + 40k + -40k Combine like terms: 25k + -40k = -15k 0.45 + -15k = 0.25 + 40k + -40k Combine like terms: 40k + -40k = 0 0.45 + -15k = 0.25 + 0 0.45 + -15k = 0.25 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -15k = 0.25 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -15k = 0.25 + -0.45 -15k = 0.25 + -0.45 Combine like terms: 0.25 + -0.45 = -0.2 -15k = -0.2 Divide each side by '-15'. k = 0.01333333333 Simplifying k = 0.01333333333
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