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