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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 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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