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Simplifying (6)(k + 3) = 48 Reorder the terms: 6(3 + k) = 48 (3 * 6 + k * 6) = 48 (18 + 6k) = 48 Solving 18 + 6k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6k = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = 48 + -18 6k = 48 + -18 Combine like terms: 48 + -18 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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