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Simplifying (7 + 1i) + (6 + -18i) = 0 Remove parenthesis around (7 + 1i) 7 + 1i + (6 + -18i) = 0 Remove parenthesis around (6 + -18i) 7 + 1i + 6 + -18i = 0 Reorder the terms: 7 + 6 + 1i + -18i = 0 Combine like terms: 7 + 6 = 13 13 + 1i + -18i = 0 Combine like terms: 1i + -18i = -17i 13 + -17i = 0 Solving 13 + -17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -17i = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -17i = 0 + -13 -17i = 0 + -13 Combine like terms: 0 + -13 = -13 -17i = -13 Divide each side by '-17'. i = 0.7647058824 Simplifying i = 0.7647058824
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