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Simplifying -35 + 7k = 3(2j + -6) Reorder the terms: -35 + 7k = 3(-6 + 2j) -35 + 7k = (-6 * 3 + 2j * 3) -35 + 7k = (-18 + 6j) Solving -35 + 7k = -18 + 6j Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 7k = -18 + 35 + 6j Combine like terms: -35 + 35 = 0 0 + 7k = -18 + 35 + 6j 7k = -18 + 35 + 6j Combine like terms: -18 + 35 = 17 7k = 17 + 6j Divide each side by '7'. k = 2.428571429 + 0.8571428571j Simplifying k = 2.428571429 + 0.8571428571j
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