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Simplifying 9 + 4i + z = 0 Solving 9 + 4i + z = 0 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 + z = 0 + -9 Reorder the terms: 9 + -9 + 4i + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4i + z = 0 + -9 4i + z = 0 + -9 Combine like terms: 0 + -9 = -9 4i + z = -9 Add '-1z' to each side of the equation. 4i + z + -1z = -9 + -1z Combine like terms: z + -1z = 0 4i + 0 = -9 + -1z 4i = -9 + -1z Divide each side by '4'. i = -2.25 + -0.25z Simplifying i = -2.25 + -0.25z
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