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Simplifying 3(u + -3) + -4i = 11 Reorder the terms: 3(-3 + u) + -4i = 11 (-3 * 3 + u * 3) + -4i = 11 (-9 + 3u) + -4i = 11 Reorder the terms: -9 + -4i + 3u = 11 Solving -9 + -4i + 3u = 11 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -4i + 9 + 3u = 11 + 9 Reorder the terms: -9 + 9 + -4i + 3u = 11 + 9 Combine like terms: -9 + 9 = 0 0 + -4i + 3u = 11 + 9 -4i + 3u = 11 + 9 Combine like terms: 11 + 9 = 20 -4i + 3u = 20 Add '-3u' to each side of the equation. -4i + 3u + -3u = 20 + -3u Combine like terms: 3u + -3u = 0 -4i + 0 = 20 + -3u -4i = 20 + -3u Divide each side by '-4'. i = -5 + 0.75u Simplifying i = -5 + 0.75u
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