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Simplifying 5k + -5 + 13 + -7k = 6 Reorder the terms: -5 + 13 + 5k + -7k = 6 Combine like terms: -5 + 13 = 8 8 + 5k + -7k = 6 Combine like terms: 5k + -7k = -2k 8 + -2k = 6 Solving 8 + -2k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2k = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 6 + -8 -2k = 6 + -8 Combine like terms: 6 + -8 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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