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Simplifying (9 + 10i) + -1(19 + 6i) = 0 Remove parenthesis around (9 + 10i) 9 + 10i + -1(19 + 6i) = 0 9 + 10i + (19 * -1 + 6i * -1) = 0 9 + 10i + (-19 + -6i) = 0 Reorder the terms: 9 + -19 + 10i + -6i = 0 Combine like terms: 9 + -19 = -10 -10 + 10i + -6i = 0 Combine like terms: 10i + -6i = 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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