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Simplifying 2(7 + 7k) = 5k + 32 (7 * 2 + 7k * 2) = 5k + 32 (14 + 14k) = 5k + 32 Reorder the terms: 14 + 14k = 32 + 5k Solving 14 + 14k = 32 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 14 + 14k + -5k = 32 + 5k + -5k Combine like terms: 14k + -5k = 9k 14 + 9k = 32 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + 9k = 32 + 0 14 + 9k = 32 Add '-14' to each side of the equation. 14 + -14 + 9k = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 9k = 32 + -14 9k = 32 + -14 Combine like terms: 32 + -14 = 18 9k = 18 Divide each side by '9'. k = 2 Simplifying k = 2
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