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Simplifying 25(k + 4) = 400 Reorder the terms: 25(4 + k) = 400 (4 * 25 + k * 25) = 400 (100 + 25k) = 400 Solving 100 + 25k = 400 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 25k = 400 + -100 Combine like terms: 100 + -100 = 0 0 + 25k = 400 + -100 25k = 400 + -100 Combine like terms: 400 + -100 = 300 25k = 300 Divide each side by '25'. k = 12 Simplifying k = 12
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