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Simplifying 8k + -1k + 5 + -1 = k + 1 Reorder the terms: 5 + -1 + 8k + -1k = k + 1 Combine like terms: 5 + -1 = 4 4 + 8k + -1k = k + 1 Combine like terms: 8k + -1k = 7k 4 + 7k = k + 1 Reorder the terms: 4 + 7k = 1 + k Solving 4 + 7k = 1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 4 + 7k + -1k = 1 + k + -1k Combine like terms: 7k + -1k = 6k 4 + 6k = 1 + k + -1k Combine like terms: k + -1k = 0 4 + 6k = 1 + 0 4 + 6k = 1 Add '-4' to each side of the equation. 4 + -4 + 6k = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 1 + -4 6k = 1 + -4 Combine like terms: 1 + -4 = -3 6k = -3 Divide each side by '6'. k = -0.5 Simplifying k = -0.5
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