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Simplifying 4(3 + -1u) + u = 22 + 2i (3 * 4 + -1u * 4) + u = 22 + 2i (12 + -4u) + u = 22 + 2i Combine like terms: -4u + u = -3u 12 + -3u = 22 + 2i Solving 12 + -3u = 22 + 2i Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3u = 22 + -12 + 2i Combine like terms: 12 + -12 = 0 0 + -3u = 22 + -12 + 2i -3u = 22 + -12 + 2i Combine like terms: 22 + -12 = 10 -3u = 10 + 2i Divide each side by '-3'. u = -3.333333333 + -0.6666666667i Simplifying u = -3.333333333 + -0.6666666667i
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