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Simplifying 7(k + -6) + 8 = 13 Reorder the terms: 7(-6 + k) + 8 = 13 (-6 * 7 + k * 7) + 8 = 13 (-42 + 7k) + 8 = 13 Reorder the terms: -42 + 8 + 7k = 13 Combine like terms: -42 + 8 = -34 -34 + 7k = 13 Solving -34 + 7k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 7k = 13 + 34 Combine like terms: -34 + 34 = 0 0 + 7k = 13 + 34 7k = 13 + 34 Combine like terms: 13 + 34 = 47 7k = 47 Divide each side by '7'. k = 6.714285714 Simplifying k = 6.714285714
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