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Simplifying 8k + -1k + 7 + -8 = -36 Reorder the terms: 7 + -8 + 8k + -1k = -36 Combine like terms: 7 + -8 = -1 -1 + 8k + -1k = -36 Combine like terms: 8k + -1k = 7k -1 + 7k = -36 Solving -1 + 7k = -36 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7k = -36 + 1 Combine like terms: -1 + 1 = 0 0 + 7k = -36 + 1 7k = -36 + 1 Combine like terms: -36 + 1 = -35 7k = -35 Divide each side by '7'. k = -5 Simplifying k = -5
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