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