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