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Simplifying 2(8 + -1k) = 32 + k (8 * 2 + -1k * 2) = 32 + k (16 + -2k) = 32 + k Solving 16 + -2k = 32 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 16 + -2k + -1k = 32 + k + -1k Combine like terms: -2k + -1k = -3k 16 + -3k = 32 + k + -1k Combine like terms: k + -1k = 0 16 + -3k = 32 + 0 16 + -3k = 32 Add '-16' to each side of the equation. 16 + -16 + -3k = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -3k = 32 + -16 -3k = 32 + -16 Combine like terms: 32 + -16 = 16 -3k = 16 Divide each side by '-3'. k = -5.333333333 Simplifying k = -5.333333333
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