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