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Simplifying 5i + -5(8 + -9i) = 0 5i + (8 * -5 + -9i * -5) = 0 5i + (-40 + 45i) = 0 Reorder the terms: -40 + 5i + 45i = 0 Combine like terms: 5i + 45i = 50i -40 + 50i = 0 Solving -40 + 50i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 50i = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 50i = 0 + 40 50i = 0 + 40 Combine like terms: 0 + 40 = 40 50i = 40 Divide each side by '50'. i = 0.8 Simplifying i = 0.8
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