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Simplifying 7(k + -6) + 8 = -7 Reorder the terms: 7(-6 + k) + 8 = -7 (-6 * 7 + k * 7) + 8 = -7 (-42 + 7k) + 8 = -7 Reorder the terms: -42 + 8 + 7k = -7 Combine like terms: -42 + 8 = -34 -34 + 7k = -7 Solving -34 + 7k = -7 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 = -7 + 34 Combine like terms: -34 + 34 = 0 0 + 7k = -7 + 34 7k = -7 + 34 Combine like terms: -7 + 34 = 27 7k = 27 Divide each side by '7'. k = 3.857142857 Simplifying k = 3.857142857
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