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Simplifying 5(1 + 5k) = 130 (1 * 5 + 5k * 5) = 130 (5 + 25k) = 130 Solving 5 + 25k = 130 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 25k = 130 + -5 Combine like terms: 5 + -5 = 0 0 + 25k = 130 + -5 25k = 130 + -5 Combine like terms: 130 + -5 = 125 25k = 125 Divide each side by '25'. k = 5 Simplifying k = 5
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