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Simplifying (7 + -6i) + -1(3 + -1i) = 0 Remove parenthesis around (7 + -6i) 7 + -6i + -1(3 + -1i) = 0 7 + -6i + (3 * -1 + -1i * -1) = 0 7 + -6i + (-3 + 1i) = 0 Reorder the terms: 7 + -3 + -6i + 1i = 0 Combine like terms: 7 + -3 = 4 4 + -6i + 1i = 0 Combine like terms: -6i + 1i = -5i 4 + -5i = 0 Solving 4 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5i = 0 + -4 -5i = 0 + -4 Combine like terms: 0 + -4 = -4 -5i = -4 Divide each side by '-5'. i = 0.8 Simplifying i = 0.8
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