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Simplifying 9x + y(I) + -2 = 5i + 16 Multiply y * I 9x + yI + -2 = 5i + 16 Reorder the terms: -2 + 9x + yI = 5i + 16 Reorder the terms: -2 + 9x + yI = 16 + 5i Solving -2 + 9x + yI = 16 + 5i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9x + 2 + yI = 16 + 2 + 5i Reorder the terms: -2 + 2 + 9x + yI = 16 + 2 + 5i Combine like terms: -2 + 2 = 0 0 + 9x + yI = 16 + 2 + 5i 9x + yI = 16 + 2 + 5i Combine like terms: 16 + 2 = 18 9x + yI = 18 + 5i Add '-1yI' to each side of the equation. 9x + yI + -1yI = 18 + 5i + -1yI Combine like terms: yI + -1yI = 0 9x + 0 = 18 + 5i + -1yI 9x = 18 + 5i + -1yI Divide each side by '9'. x = 2 + 0.5555555556i + -0.1111111111yI Simplifying x = 2 + 0.5555555556i + -0.1111111111yI
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