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Simplifying 4(3k + -2) + 3(4 + -1k) = 0 Reorder the terms: 4(-2 + 3k) + 3(4 + -1k) = 0 (-2 * 4 + 3k * 4) + 3(4 + -1k) = 0 (-8 + 12k) + 3(4 + -1k) = 0 -8 + 12k + (4 * 3 + -1k * 3) = 0 -8 + 12k + (12 + -3k) = 0 Reorder the terms: -8 + 12 + 12k + -3k = 0 Combine like terms: -8 + 12 = 4 4 + 12k + -3k = 0 Combine like terms: 12k + -3k = 9k 4 + 9k = 0 Solving 4 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9k = 0 + -4 9k = 0 + -4 Combine like terms: 0 + -4 = -4 9k = -4 Divide each side by '9'. k = -0.4444444444 Simplifying k = -0.4444444444
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