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Simplifying (4 + -5i) + -1(4 + i) = 0 Remove parenthesis around (4 + -5i) 4 + -5i + -1(4 + i) = 0 4 + -5i + (4 * -1 + i * -1) = 0 4 + -5i + (-4 + -1i) = 0 Reorder the terms: 4 + -4 + -5i + -1i = 0 Combine like terms: 4 + -4 = 0 0 + -5i + -1i = 0 -5i + -1i = 0 Combine like terms: -5i + -1i = -6i -6i = 0 Solving -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-6'. i = 0 Simplifying i = 0
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