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Simplifying 5k + 7 + 2k = 5k + -9 + k Reorder the terms: 7 + 5k + 2k = 5k + -9 + k Combine like terms: 5k + 2k = 7k 7 + 7k = 5k + -9 + k Reorder the terms: 7 + 7k = -9 + 5k + k Combine like terms: 5k + k = 6k 7 + 7k = -9 + 6k Solving 7 + 7k = -9 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 7 + 7k + -6k = -9 + 6k + -6k Combine like terms: 7k + -6k = 1k 7 + 1k = -9 + 6k + -6k Combine like terms: 6k + -6k = 0 7 + 1k = -9 + 0 7 + 1k = -9 Add '-7' to each side of the equation. 7 + -7 + 1k = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = -9 + -7 1k = -9 + -7 Combine like terms: -9 + -7 = -16 1k = -16 Divide each side by '1'. k = -16 Simplifying k = -16
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