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Simplifying -8 + -1k = k + -6 + -7k Reorder the terms: -8 + -1k = -6 + k + -7k Combine like terms: k + -7k = -6k -8 + -1k = -6 + -6k Solving -8 + -1k = -6 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -8 + -1k + 6k = -6 + -6k + 6k Combine like terms: -1k + 6k = 5k -8 + 5k = -6 + -6k + 6k Combine like terms: -6k + 6k = 0 -8 + 5k = -6 + 0 -8 + 5k = -6 Add '8' to each side of the equation. -8 + 8 + 5k = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = -6 + 8 5k = -6 + 8 Combine like terms: -6 + 8 = 2 5k = 2 Divide each side by '5'. k = 0.4 Simplifying k = 0.4
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