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Simplifying 8(12 + -1k) = (k + 21) (12 * 8 + -1k * 8) = (k + 21) (96 + -8k) = (k + 21) Reorder the terms: 96 + -8k = (21 + k) Remove parenthesis around (21 + k) 96 + -8k = 21 + k Solving 96 + -8k = 21 + 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. 96 + -8k + -1k = 21 + k + -1k Combine like terms: -8k + -1k = -9k 96 + -9k = 21 + k + -1k Combine like terms: k + -1k = 0 96 + -9k = 21 + 0 96 + -9k = 21 Add '-96' to each side of the equation. 96 + -96 + -9k = 21 + -96 Combine like terms: 96 + -96 = 0 0 + -9k = 21 + -96 -9k = 21 + -96 Combine like terms: 21 + -96 = -75 -9k = -75 Divide each side by '-9'. k = 8.333333333 Simplifying k = 8.333333333
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