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Simplifying (1 + -7i) + -1(1 + 6i) = 0 Remove parenthesis around (1 + -7i) 1 + -7i + -1(1 + 6i) = 0 1 + -7i + (1 * -1 + 6i * -1) = 0 1 + -7i + (-1 + -6i) = 0 Reorder the terms: 1 + -1 + -7i + -6i = 0 Combine like terms: 1 + -1 = 0 0 + -7i + -6i = 0 -7i + -6i = 0 Combine like terms: -7i + -6i = -13i -13i = 0 Solving -13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-13'. i = 0 Simplifying i = 0
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