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Simplifying 40(25 + k) = 0 (25 * 40 + k * 40) = 0 (1000 + 40k) = 0 Solving 1000 + 40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 40k = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 40k = 0 + -1000 40k = 0 + -1000 Combine like terms: 0 + -1000 = -1000 40k = -1000 Divide each side by '40'. k = -25 Simplifying k = -25
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