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Simplifying -2 = -1k + -6 + -7k + 20 Reorder the terms: -2 = -6 + 20 + -1k + -7k Combine like terms: -6 + 20 = 14 -2 = 14 + -1k + -7k Combine like terms: -1k + -7k = -8k -2 = 14 + -8k Solving -2 = 14 + -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. -2 + 8k = 14 + -8k + 8k Combine like terms: -8k + 8k = 0 -2 + 8k = 14 + 0 -2 + 8k = 14 Add '2' to each side of the equation. -2 + 2 + 8k = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 8k = 14 + 2 8k = 14 + 2 Combine like terms: 14 + 2 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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