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