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Simplifying 4 + -91 + -3ni + 1 + 3ni = 5 + -9i Reorder the terms: 4 + -91 + 1 + -3in + 3in = 5 + -9i Combine like terms: 4 + -91 = -87 -87 + 1 + -3in + 3in = 5 + -9i Combine like terms: -87 + 1 = -86 -86 + -3in + 3in = 5 + -9i Combine like terms: -3in + 3in = 0 -86 + 0 = 5 + -9i -86 = 5 + -9i Solving -86 = 5 + -9i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9i' to each side of the equation. -86 + 9i = 5 + -9i + 9i Combine like terms: -9i + 9i = 0 -86 + 9i = 5 + 0 -86 + 9i = 5 Add '86' to each side of the equation. -86 + 86 + 9i = 5 + 86 Combine like terms: -86 + 86 = 0 0 + 9i = 5 + 86 9i = 5 + 86 Combine like terms: 5 + 86 = 91 9i = 91 Divide each side by '9'. i = 10.11111111 Simplifying i = 10.11111111
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