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Simplifying 12 + 2(k + 3) = -9 + -2 Reorder the terms: 12 + 2(3 + k) = -9 + -2 12 + (3 * 2 + k * 2) = -9 + -2 12 + (6 + 2k) = -9 + -2 Combine like terms: 12 + 6 = 18 18 + 2k = -9 + -2 Combine like terms: -9 + -2 = -11 18 + 2k = -11 Solving 18 + 2k = -11 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2k = -11 + -18 Combine like terms: 18 + -18 = 0 0 + 2k = -11 + -18 2k = -11 + -18 Combine like terms: -11 + -18 = -29 2k = -29 Divide each side by '2'. k = -14.5 Simplifying k = -14.5
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