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Simplifying -18 + -6k = 6(1 + 3j) -18 + -6k = (1 * 6 + 3j * 6) -18 + -6k = (6 + 18j) Solving -18 + -6k = 6 + 18j 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 + -6k = 6 + 18 + 18j Combine like terms: -18 + 18 = 0 0 + -6k = 6 + 18 + 18j -6k = 6 + 18 + 18j Combine like terms: 6 + 18 = 24 -6k = 24 + 18j Divide each side by '-6'. k = -4 + -3j Simplifying k = -4 + -3j
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