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Simplifying 9i + -4(i + 2) = 0 Reorder the terms: 9i + -4(2 + i) = 0 9i + (2 * -4 + i * -4) = 0 9i + (-8 + -4i) = 0 Reorder the terms: -8 + 9i + -4i = 0 Combine like terms: 9i + -4i = 5i -8 + 5i = 0 Solving -8 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5i = 0 + 8 5i = 0 + 8 Combine like terms: 0 + 8 = 8 5i = 8 Divide each side by '5'. i = 1.6 Simplifying i = 1.6
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