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Simplifying 5k + -8 = 13 + -2k Reorder the terms: -8 + 5k = 13 + -2k Solving -8 + 5k = 13 + -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 = 13 + -2k + 2k Combine like terms: 5k + 2k = 7k -8 + 7k = 13 + -2k + 2k Combine like terms: -2k + 2k = 0 -8 + 7k = 13 + 0 -8 + 7k = 13 Add '8' to each side of the equation. -8 + 8 + 7k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7k = 13 + 8 7k = 13 + 8 Combine like terms: 13 + 8 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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