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Simplifying k + -8 + 2(k + 12) = 52 Reorder the terms: k + -8 + 2(12 + k) = 52 k + -8 + (12 * 2 + k * 2) = 52 k + -8 + (24 + 2k) = 52 Reorder the terms: -8 + 24 + k + 2k = 52 Combine like terms: -8 + 24 = 16 16 + k + 2k = 52 Combine like terms: k + 2k = 3k 16 + 3k = 52 Solving 16 + 3k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3k = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 3k = 52 + -16 3k = 52 + -16 Combine like terms: 52 + -16 = 36 3k = 36 Divide each side by '3'. k = 12 Simplifying k = 12
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