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Simplifying (12 + -6i) = -1(-3 + -8i) Remove parenthesis around (12 + -6i) 12 + -6i = -1(-3 + -8i) 12 + -6i = (-3 * -1 + -8i * -1) 12 + -6i = (3 + 8i) Solving 12 + -6i = 3 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 12 + -6i + -8i = 3 + 8i + -8i Combine like terms: -6i + -8i = -14i 12 + -14i = 3 + 8i + -8i Combine like terms: 8i + -8i = 0 12 + -14i = 3 + 0 12 + -14i = 3 Add '-12' to each side of the equation. 12 + -12 + -14i = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -14i = 3 + -12 -14i = 3 + -12 Combine like terms: 3 + -12 = -9 -14i = -9 Divide each side by '-14'. i = 0.6428571429 Simplifying i = 0.6428571429
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