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Simplifying 2(8 + 2k) = 5(k + 4) (8 * 2 + 2k * 2) = 5(k + 4) (16 + 4k) = 5(k + 4) Reorder the terms: 16 + 4k = 5(4 + k) 16 + 4k = (4 * 5 + k * 5) 16 + 4k = (20 + 5k) Solving 16 + 4k = 20 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 16 + 4k + -5k = 20 + 5k + -5k Combine like terms: 4k + -5k = -1k 16 + -1k = 20 + 5k + -5k Combine like terms: 5k + -5k = 0 16 + -1k = 20 + 0 16 + -1k = 20 Add '-16' to each side of the equation. 16 + -16 + -1k = 20 + -16 Combine like terms: 16 + -16 = 0 0 + -1k = 20 + -16 -1k = 20 + -16 Combine like terms: 20 + -16 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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