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Simplifying 5(4k + 5) = 125 Reorder the terms: 5(5 + 4k) = 125 (5 * 5 + 4k * 5) = 125 (25 + 20k) = 125 Solving 25 + 20k = 125 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 20k = 125 + -25 Combine like terms: 25 + -25 = 0 0 + 20k = 125 + -25 20k = 125 + -25 Combine like terms: 125 + -25 = 100 20k = 100 Divide each side by '20'. k = 5 Simplifying k = 5
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