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Simplifying 3(4 + -1k) = 2k + -3 (4 * 3 + -1k * 3) = 2k + -3 (12 + -3k) = 2k + -3 Reorder the terms: 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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