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Simplifying 3(k + 5) = 12k Reorder the terms: 3(5 + k) = 12k (5 * 3 + k * 3) = 12k (15 + 3k) = 12k Solving 15 + 3k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 15 + 3k + -12k = 12k + -12k Combine like terms: 3k + -12k = -9k 15 + -9k = 12k + -12k Combine like terms: 12k + -12k = 0 15 + -9k = 0 Add '-15' to each side of the equation. 15 + -15 + -9k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9k = 0 + -15 -9k = 0 + -15 Combine like terms: 0 + -15 = -15 -9k = -15 Divide each side by '-9'. k = 1.666666667 Simplifying k = 1.666666667
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