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