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Simplifying 2(k + 6) + 3k = -1 Reorder the terms: 2(6 + k) + 3k = -1 (6 * 2 + k * 2) + 3k = -1 (12 + 2k) + 3k = -1 Combine like terms: 2k + 3k = 5k 12 + 5k = -1 Solving 12 + 5k = -1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5k = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 5k = -1 + -12 5k = -1 + -12 Combine like terms: -1 + -12 = -13 5k = -13 Divide each side by '5'. k = -2.6 Simplifying k = -2.6
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