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Simplifying 8 + 7k + -4 = -4 + -1k Reorder the terms: 8 + -4 + 7k = -4 + -1k Combine like terms: 8 + -4 = 4 4 + 7k = -4 + -1k Solving 4 + 7k = -4 + -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. 4 + 7k + k = -4 + -1k + k Combine like terms: 7k + k = 8k 4 + 8k = -4 + -1k + k Combine like terms: -1k + k = 0 4 + 8k = -4 + 0 4 + 8k = -4 Add '-4' to each side of the equation. 4 + -4 + 8k = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8k = -4 + -4 8k = -4 + -4 Combine like terms: -4 + -4 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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