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Simplifying 3(k + 2) + 2(k + 3) = 2k + 3 Reorder the terms: 3(2 + k) + 2(k + 3) = 2k + 3 (2 * 3 + k * 3) + 2(k + 3) = 2k + 3 (6 + 3k) + 2(k + 3) = 2k + 3 Reorder the terms: 6 + 3k + 2(3 + k) = 2k + 3 6 + 3k + (3 * 2 + k * 2) = 2k + 3 6 + 3k + (6 + 2k) = 2k + 3 Reorder the terms: 6 + 6 + 3k + 2k = 2k + 3 Combine like terms: 6 + 6 = 12 12 + 3k + 2k = 2k + 3 Combine like terms: 3k + 2k = 5k 12 + 5k = 2k + 3 Reorder the terms: 12 + 5k = 3 + 2k Solving 12 + 5k = 3 + 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. 12 + 5k + -2k = 3 + 2k + -2k Combine like terms: 5k + -2k = 3k 12 + 3k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 3k = 3 + 0 12 + 3k = 3 Add '-12' to each side of the equation. 12 + -12 + 3k = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3k = 3 + -12 3k = 3 + -12 Combine like terms: 3 + -12 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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