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Simplifying (12 + 14i) + -1(-9 + -14i) = 0 Remove parenthesis around (12 + 14i) 12 + 14i + -1(-9 + -14i) = 0 12 + 14i + (-9 * -1 + -14i * -1) = 0 12 + 14i + (9 + 14i) = 0 Reorder the terms: 12 + 9 + 14i + 14i = 0 Combine like terms: 12 + 9 = 21 21 + 14i + 14i = 0 Combine like terms: 14i + 14i = 28i 21 + 28i = 0 Solving 21 + 28i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 28i = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 28i = 0 + -21 28i = 0 + -21 Combine like terms: 0 + -21 = -21 28i = -21 Divide each side by '28'. i = -0.75 Simplifying i = -0.75
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