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Simplifying 7k + -6 = -1k + 2 Reorder the terms: -6 + 7k = -1k + 2 Reorder the terms: -6 + 7k = 2 + -1k Solving -6 + 7k = 2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -6 + 7k + k = 2 + -1k + k Combine like terms: 7k + k = 8k -6 + 8k = 2 + -1k + k Combine like terms: -1k + k = 0 -6 + 8k = 2 + 0 -6 + 8k = 2 Add '6' to each side of the equation. -6 + 6 + 8k = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = 2 + 6 8k = 2 + 6 Combine like terms: 2 + 6 = 8 8k = 8 Divide each side by '8'. k = 1 Simplifying k = 1
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