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Simplifying 6 + -4i + 3u = 5i Solving 6 + -4i + 3u = 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 6 + -4i + -5i + 3u = 5i + -5i Combine like terms: -4i + -5i = -9i 6 + -9i + 3u = 5i + -5i Combine like terms: 5i + -5i = 0 6 + -9i + 3u = 0 Add '-6' to each side of the equation. 6 + -9i + -6 + 3u = 0 + -6 Reorder the terms: 6 + -6 + -9i + 3u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9i + 3u = 0 + -6 -9i + 3u = 0 + -6 Combine like terms: 0 + -6 = -6 -9i + 3u = -6 Add '-3u' to each side of the equation. -9i + 3u + -3u = -6 + -3u Combine like terms: 3u + -3u = 0 -9i + 0 = -6 + -3u -9i = -6 + -3u Divide each side by '-9'. i = 0.6666666667 + 0.3333333333u Simplifying i = 0.6666666667 + 0.3333333333u
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