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Simplifying (2 + 2i) + -1(14 + 16i) = 0 Remove parenthesis around (2 + 2i) 2 + 2i + -1(14 + 16i) = 0 2 + 2i + (14 * -1 + 16i * -1) = 0 2 + 2i + (-14 + -16i) = 0 Reorder the terms: 2 + -14 + 2i + -16i = 0 Combine like terms: 2 + -14 = -12 -12 + 2i + -16i = 0 Combine like terms: 2i + -16i = -14i -12 + -14i = 0 Solving -12 + -14i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -14i = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -14i = 0 + 12 -14i = 0 + 12 Combine like terms: 0 + 12 = 12 -14i = 12 Divide each side by '-14'. i = -0.8571428571 Simplifying i = -0.8571428571
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