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Simplifying k + 1 = 8k + -1 Reorder the terms: 1 + k = 8k + -1 Reorder the terms: 1 + k = -1 + 8k Solving 1 + k = -1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 1 + k + -8k = -1 + 8k + -8k Combine like terms: k + -8k = -7k 1 + -7k = -1 + 8k + -8k Combine like terms: 8k + -8k = 0 1 + -7k = -1 + 0 1 + -7k = -1 Add '-1' to each side of the equation. 1 + -1 + -7k = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -7k = -1 + -1 -7k = -1 + -1 Combine like terms: -1 + -1 = -2 -7k = -2 Divide each side by '-7'. k = 0.2857142857 Simplifying k = 0.2857142857
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