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Simplifying (-3 + 5i) + -1(7 + 9i) = 0 Remove parenthesis around (-3 + 5i) -3 + 5i + -1(7 + 9i) = 0 -3 + 5i + (7 * -1 + 9i * -1) = 0 -3 + 5i + (-7 + -9i) = 0 Reorder the terms: -3 + -7 + 5i + -9i = 0 Combine like terms: -3 + -7 = -10 -10 + 5i + -9i = 0 Combine like terms: 5i + -9i = -4i -10 + -4i = 0 Solving -10 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4i = 0 + 10 -4i = 0 + 10 Combine like terms: 0 + 10 = 10 -4i = 10 Divide each side by '-4'. i = -2.5 Simplifying i = -2.5
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