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Simplifying 5k + 8 = -6 + -2k Reorder the terms: 8 + 5k = -6 + -2k Solving 8 + 5k = -6 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8 + 5k + 2k = -6 + -2k + 2k Combine like terms: 5k + 2k = 7k 8 + 7k = -6 + -2k + 2k Combine like terms: -2k + 2k = 0 8 + 7k = -6 + 0 8 + 7k = -6 Add '-8' to each side of the equation. 8 + -8 + 7k = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 7k = -6 + -8 7k = -6 + -8 Combine like terms: -6 + -8 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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