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Simplifying (-14 + 2i) + -1(24 + 26i) = 0 Remove parenthesis around (-14 + 2i) -14 + 2i + -1(24 + 26i) = 0 -14 + 2i + (24 * -1 + 26i * -1) = 0 -14 + 2i + (-24 + -26i) = 0 Reorder the terms: -14 + -24 + 2i + -26i = 0 Combine like terms: -14 + -24 = -38 -38 + 2i + -26i = 0 Combine like terms: 2i + -26i = -24i -38 + -24i = 0 Solving -38 + -24i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -24i = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -24i = 0 + 38 -24i = 0 + 38 Combine like terms: 0 + 38 = 38 -24i = 38 Divide each side by '-24'. i = -1.583333333 Simplifying i = -1.583333333
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