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Simplifying 5i + (-3 + -9i) = 0 Remove parenthesis around (-3 + -9i) 5i + -3 + -9i = 0 Reorder the terms: -3 + 5i + -9i = 0 Combine like terms: 5i + -9i = -4i -3 + -4i = 0 Solving -3 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4i = 0 + 3 -4i = 0 + 3 Combine like terms: 0 + 3 = 3 -4i = 3 Divide each side by '-4'. i = -0.75 Simplifying i = -0.75
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