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Simplifying (7 + -22i) + -1(18 + 44i) = 0 Remove parenthesis around (7 + -22i) 7 + -22i + -1(18 + 44i) = 0 7 + -22i + (18 * -1 + 44i * -1) = 0 7 + -22i + (-18 + -44i) = 0 Reorder the terms: 7 + -18 + -22i + -44i = 0 Combine like terms: 7 + -18 = -11 -11 + -22i + -44i = 0 Combine like terms: -22i + -44i = -66i -11 + -66i = 0 Solving -11 + -66i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -66i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -66i = 0 + 11 -66i = 0 + 11 Combine like terms: 0 + 11 = 11 -66i = 11 Divide each side by '-66'. i = -0.1666666667 Simplifying i = -0.1666666667
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