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Simplifying (3 + -6i) + -1(-7 + 8i) = 0 Remove parenthesis around (3 + -6i) 3 + -6i + -1(-7 + 8i) = 0 3 + -6i + (-7 * -1 + 8i * -1) = 0 3 + -6i + (7 + -8i) = 0 Reorder the terms: 3 + 7 + -6i + -8i = 0 Combine like terms: 3 + 7 = 10 10 + -6i + -8i = 0 Combine like terms: -6i + -8i = -14i 10 + -14i = 0 Solving 10 + -14i = 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 + -14i = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -14i = 0 + -10 -14i = 0 + -10 Combine like terms: 0 + -10 = -10 -14i = -10 Divide each side by '-14'. i = 0.7142857143 Simplifying i = 0.7142857143
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