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Simplifying (2 + 6i) + -1(12 + -1i) = 0 Remove parenthesis around (2 + 6i) 2 + 6i + -1(12 + -1i) = 0 2 + 6i + (12 * -1 + -1i * -1) = 0 2 + 6i + (-12 + 1i) = 0 Reorder the terms: 2 + -12 + 6i + 1i = 0 Combine like terms: 2 + -12 = -10 -10 + 6i + 1i = 0 Combine like terms: 6i + 1i = 7i -10 + 7i = 0 Solving -10 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7i = 0 + 10 7i = 0 + 10 Combine like terms: 0 + 10 = 10 7i = 10 Divide each side by '7'. i = 1.428571429 Simplifying i = 1.428571429
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