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Simplifying 3(5 + -2i) = 3(-6u + 5) (5 * 3 + -2i * 3) = 3(-6u + 5) (15 + -6i) = 3(-6u + 5) Reorder the terms: 15 + -6i = 3(5 + -6u) 15 + -6i = (5 * 3 + -6u * 3) 15 + -6i = (15 + -18u) Add '-15' to each side of the equation. 15 + -15 + -6i = 15 + -15 + -18u Combine like terms: 15 + -15 = 0 0 + -6i = 15 + -15 + -18u -6i = 15 + -15 + -18u Combine like terms: 15 + -15 = 0 -6i = 0 + -18u -6i = -18u Solving -6i = -18u Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-6'. i = 3u Simplifying i = 3u
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