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Simplifying (2k + 1) = 3(k + 4) Reorder the terms: (1 + 2k) = 3(k + 4) Remove parenthesis around (1 + 2k) 1 + 2k = 3(k + 4) Reorder the terms: 1 + 2k = 3(4 + k) 1 + 2k = (4 * 3 + k * 3) 1 + 2k = (12 + 3k) Solving 1 + 2k = 12 + 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. 1 + 2k + -3k = 12 + 3k + -3k Combine like terms: 2k + -3k = -1k 1 + -1k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + -1k = 12 + 0 1 + -1k = 12 Add '-1' to each side of the equation. 1 + -1 + -1k = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 12 + -1 -1k = 12 + -1 Combine like terms: 12 + -1 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11
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