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Simplifying (1 + -1i) + -1(6 + 7i) = 0 Remove parenthesis around (1 + -1i) 1 + -1i + -1(6 + 7i) = 0 1 + -1i + (6 * -1 + 7i * -1) = 0 1 + -1i + (-6 + -7i) = 0 Reorder the terms: 1 + -6 + -1i + -7i = 0 Combine like terms: 1 + -6 = -5 -5 + -1i + -7i = 0 Combine like terms: -1i + -7i = -8i -5 + -8i = 0 Solving -5 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8i = 0 + 5 -8i = 0 + 5 Combine like terms: 0 + 5 = 5 -8i = 5 Divide each side by '-8'. i = -0.625 Simplifying i = -0.625
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