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Simplifying (4 + -7i) + (3 + 6i) = 0 Remove parenthesis around (4 + -7i) 4 + -7i + (3 + 6i) = 0 Remove parenthesis around (3 + 6i) 4 + -7i + 3 + 6i = 0 Reorder the terms: 4 + 3 + -7i + 6i = 0 Combine like terms: 4 + 3 = 7 7 + -7i + 6i = 0 Combine like terms: -7i + 6i = -1i 7 + -1i = 0 Solving 7 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1i = 0 + -7 -1i = 0 + -7 Combine like terms: 0 + -7 = -7 -1i = -7 Divide each side by '-1'. i = 7 Simplifying i = 7
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