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Simplifying 7(2k + 6) = 16 + 9k Reorder the terms: 7(6 + 2k) = 16 + 9k (6 * 7 + 2k * 7) = 16 + 9k (42 + 14k) = 16 + 9k Solving 42 + 14k = 16 + 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. 42 + 14k + -9k = 16 + 9k + -9k Combine like terms: 14k + -9k = 5k 42 + 5k = 16 + 9k + -9k Combine like terms: 9k + -9k = 0 42 + 5k = 16 + 0 42 + 5k = 16 Add '-42' to each side of the equation. 42 + -42 + 5k = 16 + -42 Combine like terms: 42 + -42 = 0 0 + 5k = 16 + -42 5k = 16 + -42 Combine like terms: 16 + -42 = -26 5k = -26 Divide each side by '5'. k = -5.2 Simplifying k = -5.2
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