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Simplifying 5k + 2(11 + -4k) = 82 + k 5k + (11 * 2 + -4k * 2) = 82 + k 5k + (22 + -8k) = 82 + k Reorder the terms: 22 + 5k + -8k = 82 + k Combine like terms: 5k + -8k = -3k 22 + -3k = 82 + k Solving 22 + -3k = 82 + 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. 22 + -3k + -1k = 82 + k + -1k Combine like terms: -3k + -1k = -4k 22 + -4k = 82 + k + -1k Combine like terms: k + -1k = 0 22 + -4k = 82 + 0 22 + -4k = 82 Add '-22' to each side of the equation. 22 + -22 + -4k = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -4k = 82 + -22 -4k = 82 + -22 Combine like terms: 82 + -22 = 60 -4k = 60 Divide each side by '-4'. k = -15 Simplifying k = -15
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