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Simplifying 8 + 7k = 2(2k + 6) Reorder the terms: 8 + 7k = 2(6 + 2k) 8 + 7k = (6 * 2 + 2k * 2) 8 + 7k = (12 + 4k) Solving 8 + 7k = 12 + 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. 8 + 7k + -4k = 12 + 4k + -4k Combine like terms: 7k + -4k = 3k 8 + 3k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + 3k = 12 + 0 8 + 3k = 12 Add '-8' to each side of the equation. 8 + -8 + 3k = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 12 + -8 3k = 12 + -8 Combine like terms: 12 + -8 = 4 3k = 4 Divide each side by '3'. k = 1.333333333 Simplifying k = 1.333333333
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