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Simplifying 2k + -8 + 2(k + 12) = 52 Reorder the terms: 2k + -8 + 2(12 + k) = 52 2k + -8 + (12 * 2 + k * 2) = 52 2k + -8 + (24 + 2k) = 52 Reorder the terms: -8 + 24 + 2k + 2k = 52 Combine like terms: -8 + 24 = 16 16 + 2k + 2k = 52 Combine like terms: 2k + 2k = 4k 16 + 4k = 52 Solving 16 + 4k = 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 + 4k = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 4k = 52 + -16 4k = 52 + -16 Combine like terms: 52 + -16 = 36 4k = 36 Divide each side by '4'. k = 9 Simplifying k = 9
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