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Simplifying 2(k + 7) = 9k Reorder the terms: 2(7 + k) = 9k (7 * 2 + k * 2) = 9k (14 + 2k) = 9k Solving 14 + 2k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 14 + 2k + -9k = 9k + -9k Combine like terms: 2k + -9k = -7k 14 + -7k = 9k + -9k Combine like terms: 9k + -9k = 0 14 + -7k = 0 Add '-14' to each side of the equation. 14 + -14 + -7k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7k = 0 + -14 -7k = 0 + -14 Combine like terms: 0 + -14 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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