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