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Simplifying (-7 + 3i) + (3 + -6i) = 0 Remove parenthesis around (-7 + 3i) -7 + 3i + (3 + -6i) = 0 Remove parenthesis around (3 + -6i) -7 + 3i + 3 + -6i = 0 Reorder the terms: -7 + 3 + 3i + -6i = 0 Combine like terms: -7 + 3 = -4 -4 + 3i + -6i = 0 Combine like terms: 3i + -6i = -3i -4 + -3i = 0 Solving -4 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3i = 0 + 4 -3i = 0 + 4 Combine like terms: 0 + 4 = 4 -3i = 4 Divide each side by '-3'. i = -1.333333333 Simplifying i = -1.333333333
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