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