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Simplifying 11 + 4k = 6k + 5 + k Reorder the terms: 11 + 4k = 5 + 6k + k Combine like terms: 6k + k = 7k 11 + 4k = 5 + 7k Solving 11 + 4k = 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. 11 + 4k + -7k = 5 + 7k + -7k Combine like terms: 4k + -7k = -3k 11 + -3k = 5 + 7k + -7k Combine like terms: 7k + -7k = 0 11 + -3k = 5 + 0 11 + -3k = 5 Add '-11' to each side of the equation. 11 + -11 + -3k = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -3k = 5 + -11 -3k = 5 + -11 Combine like terms: 5 + -11 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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