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Simplifying 2(4 + 4k) + 10 = k (4 * 2 + 4k * 2) + 10 = k (8 + 8k) + 10 = k Reorder the terms: 8 + 10 + 8k = k Combine like terms: 8 + 10 = 18 18 + 8k = k Solving 18 + 8k = 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. 18 + 8k + -1k = k + -1k Combine like terms: 8k + -1k = 7k 18 + 7k = k + -1k Combine like terms: k + -1k = 0 18 + 7k = 0 Add '-18' to each side of the equation. 18 + -18 + 7k = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7k = 0 + -18 7k = 0 + -18 Combine like terms: 0 + -18 = -18 7k = -18 Divide each side by '7'. k = -2.571428571 Simplifying k = -2.571428571
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