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Simplifying 1 + -7k = -3k + -5k + -5 Reorder the terms: 1 + -7k = -5 + -3k + -5k Combine like terms: -3k + -5k = -8k 1 + -7k = -5 + -8k Solving 1 + -7k = -5 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 1 + -7k + 8k = -5 + -8k + 8k Combine like terms: -7k + 8k = 1k 1 + 1k = -5 + -8k + 8k Combine like terms: -8k + 8k = 0 1 + 1k = -5 + 0 1 + 1k = -5 Add '-1' to each side of the equation. 1 + -1 + 1k = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -5 + -1 1k = -5 + -1 Combine like terms: -5 + -1 = -6 1k = -6 Divide each side by '1'. k = -6 Simplifying k = -6
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