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