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Simplifying 18 + k = (3k + 1) Reorder the terms: 18 + k = (1 + 3k) Remove parenthesis around (1 + 3k) 18 + k = 1 + 3k Solving 18 + k = 1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 18 + k + -3k = 1 + 3k + -3k Combine like terms: k + -3k = -2k 18 + -2k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 18 + -2k = 1 + 0 18 + -2k = 1 Add '-18' to each side of the equation. 18 + -18 + -2k = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = 1 + -18 -2k = 1 + -18 Combine like terms: 1 + -18 = -17 -2k = -17 Divide each side by '-2'. k = 8.5 Simplifying k = 8.5
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