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Simplifying (-4 + 7i) + (5 + -10i) = 0 Remove parenthesis around (-4 + 7i) -4 + 7i + (5 + -10i) = 0 Remove parenthesis around (5 + -10i) -4 + 7i + 5 + -10i = 0 Reorder the terms: -4 + 5 + 7i + -10i = 0 Combine like terms: -4 + 5 = 1 1 + 7i + -10i = 0 Combine like terms: 7i + -10i = -3i 1 + -3i = 0 Solving 1 + -3i = 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 + -3i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3i = 0 + -1 -3i = 0 + -1 Combine like terms: 0 + -1 = -1 -3i = -1 Divide each side by '-3'. i = 0.3333333333 Simplifying i = 0.3333333333
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