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Simplifying (-3 + 4i) + -1(4 + -5i) = 0 Remove parenthesis around (-3 + 4i) -3 + 4i + -1(4 + -5i) = 0 -3 + 4i + (4 * -1 + -5i * -1) = 0 -3 + 4i + (-4 + 5i) = 0 Reorder the terms: -3 + -4 + 4i + 5i = 0 Combine like terms: -3 + -4 = -7 -7 + 4i + 5i = 0 Combine like terms: 4i + 5i = 9i -7 + 9i = 0 Solving -7 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9i = 0 + 7 9i = 0 + 7 Combine like terms: 0 + 7 = 7 9i = 7 Divide each side by '9'. i = 0.7777777778 Simplifying i = 0.7777777778
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