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Simplifying 3(15 + k) = 105 (15 * 3 + k * 3) = 105 (45 + 3k) = 105 Solving 45 + 3k = 105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 3k = 105 + -45 Combine like terms: 45 + -45 = 0 0 + 3k = 105 + -45 3k = 105 + -45 Combine like terms: 105 + -45 = 60 3k = 60 Divide each side by '3'. k = 20 Simplifying k = 20
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