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Simplifying 7 + 7k = 4k + 22 Reorder the terms: 7 + 7k = 22 + 4k Solving 7 + 7k = 22 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 7 + 7k + -4k = 22 + 4k + -4k Combine like terms: 7k + -4k = 3k 7 + 3k = 22 + 4k + -4k Combine like terms: 4k + -4k = 0 7 + 3k = 22 + 0 7 + 3k = 22 Add '-7' to each side of the equation. 7 + -7 + 3k = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = 22 + -7 3k = 22 + -7 Combine like terms: 22 + -7 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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