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Simplifying (-14 + 2i) + -1(15 + 14i) = 0 Remove parenthesis around (-14 + 2i) -14 + 2i + -1(15 + 14i) = 0 -14 + 2i + (15 * -1 + 14i * -1) = 0 -14 + 2i + (-15 + -14i) = 0 Reorder the terms: -14 + -15 + 2i + -14i = 0 Combine like terms: -14 + -15 = -29 -29 + 2i + -14i = 0 Combine like terms: 2i + -14i = -12i -29 + -12i = 0 Solving -29 + -12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -12i = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -12i = 0 + 29 -12i = 0 + 29 Combine like terms: 0 + 29 = 29 -12i = 29 Divide each side by '-12'. i = -2.416666667 Simplifying i = -2.416666667
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