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Simplifying (4 + -7i) + (-2 + 3i) = 0 Remove parenthesis around (4 + -7i) 4 + -7i + (-2 + 3i) = 0 Remove parenthesis around (-2 + 3i) 4 + -7i + -2 + 3i = 0 Reorder the terms: 4 + -2 + -7i + 3i = 0 Combine like terms: 4 + -2 = 2 2 + -7i + 3i = 0 Combine like terms: -7i + 3i = -4i 2 + -4i = 0 Solving 2 + -4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -4i = 0 + -2 -4i = 0 + -2 Combine like terms: 0 + -2 = -2 -4i = -2 Divide each side by '-4'. i = 0.5 Simplifying i = 0.5
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