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Simplifying 2(1 + 4k) = 16 + k (1 * 2 + 4k * 2) = 16 + k (2 + 8k) = 16 + k Solving 2 + 8k = 16 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + 8k + -1k = 16 + k + -1k Combine like terms: 8k + -1k = 7k 2 + 7k = 16 + k + -1k Combine like terms: k + -1k = 0 2 + 7k = 16 + 0 2 + 7k = 16 Add '-2' to each side of the equation. 2 + -2 + 7k = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 16 + -2 7k = 16 + -2 Combine like terms: 16 + -2 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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