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Simplifying 3(k + 2) + -5k + 6 + 3 = 12 Reorder the terms: 3(2 + k) + -5k + 6 + 3 = 12 (2 * 3 + k * 3) + -5k + 6 + 3 = 12 (6 + 3k) + -5k + 6 + 3 = 12 Reorder the terms: 6 + 6 + 3 + 3k + -5k = 12 Combine like terms: 6 + 6 = 12 12 + 3 + 3k + -5k = 12 Combine like terms: 12 + 3 = 15 15 + 3k + -5k = 12 Combine like terms: 3k + -5k = -2k 15 + -2k = 12 Solving 15 + -2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2k = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -2k = 12 + -15 -2k = 12 + -15 Combine like terms: 12 + -15 = -3 -2k = -3 Divide each side by '-2'. k = 1.5 Simplifying k = 1.5
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