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Simplifying 6k + -1 = -5 + 7k Reorder the terms: -1 + 6k = -5 + 7k Solving -1 + 6k = -5 + 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. -1 + 6k + -7k = -5 + 7k + -7k Combine like terms: 6k + -7k = -1k -1 + -1k = -5 + 7k + -7k Combine like terms: 7k + -7k = 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 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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