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Simplifying 3(k + 4) = -3 + -2k Reorder the terms: 3(4 + k) = -3 + -2k (4 * 3 + k * 3) = -3 + -2k (12 + 3k) = -3 + -2k Solving 12 + 3k = -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 + 3k + 2k = -3 + -2k + 2k Combine like terms: 3k + 2k = 5k 12 + 5k = -3 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 5k = -3 + 0 12 + 5k = -3 Add '-12' to each side of the equation. 12 + -12 + 5k = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5k = -3 + -12 5k = -3 + -12 Combine like terms: -3 + -12 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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