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Simplifying (-2 + 4i) + -1(5i) = 0 Remove parenthesis around (-2 + 4i) -2 + 4i + -1(5i) = 0 Remove parenthesis around (5i) -2 + 4i + -1 * 5i = 0 Multiply -1 * 5 -2 + 4i + -5i = 0 Combine like terms: 4i + -5i = -1i -2 + -1i = 0 Solving -2 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1i = 0 + 2 -1i = 0 + 2 Combine like terms: 0 + 2 = 2 -1i = 2 Divide each side by '-1'. i = -2 Simplifying i = -2
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