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Simplifying 3(6k + 6) + 5k = -26 + k Reorder the terms: 3(6 + 6k) + 5k = -26 + k (6 * 3 + 6k * 3) + 5k = -26 + k (18 + 18k) + 5k = -26 + k Combine like terms: 18k + 5k = 23k 18 + 23k = -26 + k Solving 18 + 23k = -26 + 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. 18 + 23k + -1k = -26 + k + -1k Combine like terms: 23k + -1k = 22k 18 + 22k = -26 + k + -1k Combine like terms: k + -1k = 0 18 + 22k = -26 + 0 18 + 22k = -26 Add '-18' to each side of the equation. 18 + -18 + 22k = -26 + -18 Combine like terms: 18 + -18 = 0 0 + 22k = -26 + -18 22k = -26 + -18 Combine like terms: -26 + -18 = -44 22k = -44 Divide each side by '22'. k = -2 Simplifying k = -2
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