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Simplifying 3 = 40(25 + k) 3 = (25 * 40 + k * 40) 3 = (1000 + 40k) Solving 3 = 1000 + 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. 3 + -40k = 1000 + 40k + -40k Combine like terms: 40k + -40k = 0 3 + -40k = 1000 + 0 3 + -40k = 1000 Add '-3' to each side of the equation. 3 + -3 + -40k = 1000 + -3 Combine like terms: 3 + -3 = 0 0 + -40k = 1000 + -3 -40k = 1000 + -3 Combine like terms: 1000 + -3 = 997 -40k = 997 Divide each side by '-40'. k = -24.925 Simplifying k = -24.925
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