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Simplifying 5(5k + 3) = 65 Reorder the terms: 5(3 + 5k) = 65 (3 * 5 + 5k * 5) = 65 (15 + 25k) = 65 Solving 15 + 25k = 65 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 25k = 65 + -15 Combine like terms: 15 + -15 = 0 0 + 25k = 65 + -15 25k = 65 + -15 Combine like terms: 65 + -15 = 50 25k = 50 Divide each side by '25'. k = 2 Simplifying k = 2
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