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Simplifying (4 + 2i) + -3(5 + -4i) = 0 Remove parenthesis around (4 + 2i) 4 + 2i + -3(5 + -4i) = 0 4 + 2i + (5 * -3 + -4i * -3) = 0 4 + 2i + (-15 + 12i) = 0 Reorder the terms: 4 + -15 + 2i + 12i = 0 Combine like terms: 4 + -15 = -11 -11 + 2i + 12i = 0 Combine like terms: 2i + 12i = 14i -11 + 14i = 0 Solving -11 + 14i = 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 + 14i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 14i = 0 + 11 14i = 0 + 11 Combine like terms: 0 + 11 = 11 14i = 11 Divide each side by '14'. i = 0.7857142857 Simplifying i = 0.7857142857
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