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Simplifying -8 + 2(k + 12) = 52 + -7k Reorder the terms: -8 + 2(12 + k) = 52 + -7k -8 + (12 * 2 + k * 2) = 52 + -7k -8 + (24 + 2k) = 52 + -7k Combine like terms: -8 + 24 = 16 16 + 2k = 52 + -7k Solving 16 + 2k = 52 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 16 + 2k + 7k = 52 + -7k + 7k Combine like terms: 2k + 7k = 9k 16 + 9k = 52 + -7k + 7k Combine like terms: -7k + 7k = 0 16 + 9k = 52 + 0 16 + 9k = 52 Add '-16' to each side of the equation. 16 + -16 + 9k = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 9k = 52 + -16 9k = 52 + -16 Combine like terms: 52 + -16 = 36 9k = 36 Divide each side by '9'. k = 4 Simplifying k = 4
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