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Simplifying 8k + -1k + 7 + -1(-5) + -8 = 0 Multiply -1 * -5 8k + -1k + 7 + 5 + -8 = 0 Reorder the terms: 7 + 5 + -8 + 8k + -1k = 0 Combine like terms: 7 + 5 = 12 12 + -8 + 8k + -1k = 0 Combine like terms: 12 + -8 = 4 4 + 8k + -1k = 0 Combine like terms: 8k + -1k = 7k 4 + 7k = 0 Solving 4 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7k = 0 + -4 7k = 0 + -4 Combine like terms: 0 + -4 = -4 7k = -4 Divide each side by '7'. k = -0.5714285714 Simplifying k = -0.5714285714
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