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Simplifying 5 + -7k = 1 + -8k Solving 5 + -7k = 1 + -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. 5 + -7k + 8k = 1 + -8k + 8k Combine like terms: -7k + 8k = 1k 5 + 1k = 1 + -8k + 8k Combine like terms: -8k + 8k = 0 5 + 1k = 1 + 0 5 + 1k = 1 Add '-5' to each side of the equation. 5 + -5 + 1k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = 1 + -5 1k = 1 + -5 Combine like terms: 1 + -5 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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