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Simplifying 3(k + 6) + k = 2(k + 8) Reorder the terms: 3(6 + k) + k = 2(k + 8) (6 * 3 + k * 3) + k = 2(k + 8) (18 + 3k) + k = 2(k + 8) Combine like terms: 3k + k = 4k 18 + 4k = 2(k + 8) Reorder the terms: 18 + 4k = 2(8 + k) 18 + 4k = (8 * 2 + k * 2) 18 + 4k = (16 + 2k) Solving 18 + 4k = 16 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 18 + 4k + -2k = 16 + 2k + -2k Combine like terms: 4k + -2k = 2k 18 + 2k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 18 + 2k = 16 + 0 18 + 2k = 16 Add '-18' to each side of the equation. 18 + -18 + 2k = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = 16 + -18 2k = 16 + -18 Combine like terms: 16 + -18 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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