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Simplifying 8(k + 2) + -1(5 + 2k) = 5k Reorder the terms: 8(2 + k) + -1(5 + 2k) = 5k (2 * 8 + k * 8) + -1(5 + 2k) = 5k (16 + 8k) + -1(5 + 2k) = 5k 16 + 8k + (5 * -1 + 2k * -1) = 5k 16 + 8k + (-5 + -2k) = 5k Reorder the terms: 16 + -5 + 8k + -2k = 5k Combine like terms: 16 + -5 = 11 11 + 8k + -2k = 5k Combine like terms: 8k + -2k = 6k 11 + 6k = 5k Solving 11 + 6k = 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. 11 + 6k + -5k = 5k + -5k Combine like terms: 6k + -5k = 1k 11 + 1k = 5k + -5k Combine like terms: 5k + -5k = 0 11 + 1k = 0 Add '-11' to each side of the equation. 11 + -11 + 1k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 0 + -11 1k = 0 + -11 Combine like terms: 0 + -11 = -11 1k = -11 Divide each side by '1'. k = -11 Simplifying k = -11
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