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Simplifying 7k + -1 + -7 = 6k + -4 Reorder the terms: -1 + -7 + 7k = 6k + -4 Combine like terms: -1 + -7 = -8 -8 + 7k = 6k + -4 Reorder the terms: -8 + 7k = -4 + 6k Solving -8 + 7k = -4 + 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 + 7k + -6k = -4 + 6k + -6k Combine like terms: 7k + -6k = 1k -8 + 1k = -4 + 6k + -6k Combine like terms: 6k + -6k = 0 -8 + 1k = -4 + 0 -8 + 1k = -4 Add '8' to each side of the equation. -8 + 8 + 1k = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 1k = -4 + 8 1k = -4 + 8 Combine like terms: -4 + 8 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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