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