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Simplifying 3(-3k + 6) = 38 + -4I Reorder the terms: 3(6 + -3k) = 38 + -4I (6 * 3 + -3k * 3) = 38 + -4I (18 + -9k) = 38 + -4I Solving 18 + -9k = 38 + -4I 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 + -9k = 38 + -18 + -4I Combine like terms: 18 + -18 = 0 0 + -9k = 38 + -18 + -4I -9k = 38 + -18 + -4I Combine like terms: 38 + -18 = 20 -9k = 20 + -4I Divide each side by '-9'. k = -2.222222222 + 0.4444444444I Simplifying k = -2.222222222 + 0.4444444444I
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