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Simplifying (7 + 2i) + (1 + -4i) = 0 Remove parenthesis around (7 + 2i) 7 + 2i + (1 + -4i) = 0 Remove parenthesis around (1 + -4i) 7 + 2i + 1 + -4i = 0 Reorder the terms: 7 + 1 + 2i + -4i = 0 Combine like terms: 7 + 1 = 8 8 + 2i + -4i = 0 Combine like terms: 2i + -4i = -2i 8 + -2i = 0 Solving 8 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2i = 0 + -8 -2i = 0 + -8 Combine like terms: 0 + -8 = -8 -2i = -8 Divide each side by '-2'. i = 4 Simplifying i = 4
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