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Simplifying (2 + -6i) + -1(-10 + 4i) = 0 Remove parenthesis around (2 + -6i) 2 + -6i + -1(-10 + 4i) = 0 2 + -6i + (-10 * -1 + 4i * -1) = 0 2 + -6i + (10 + -4i) = 0 Reorder the terms: 2 + 10 + -6i + -4i = 0 Combine like terms: 2 + 10 = 12 12 + -6i + -4i = 0 Combine like terms: -6i + -4i = -10i 12 + -10i = 0 Solving 12 + -10i = 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 + -10i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -10i = 0 + -12 -10i = 0 + -12 Combine like terms: 0 + -12 = -12 -10i = -12 Divide each side by '-10'. i = 1.2 Simplifying i = 1.2
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