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