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Simplifying 3(k + 2) + -5k = 12 Reorder the terms: 3(2 + k) + -5k = 12 (2 * 3 + k * 3) + -5k = 12 (6 + 3k) + -5k = 12 Combine like terms: 3k + -5k = -2k 6 + -2k = 12 Solving 6 + -2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 12 + -6 -2k = 12 + -6 Combine like terms: 12 + -6 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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