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Simplifying (-3 + 4i) + -1(-2 + 3i) = 0 Remove parenthesis around (-3 + 4i) -3 + 4i + -1(-2 + 3i) = 0 -3 + 4i + (-2 * -1 + 3i * -1) = 0 -3 + 4i + (2 + -3i) = 0 Reorder the terms: -3 + 2 + 4i + -3i = 0 Combine like terms: -3 + 2 = -1 -1 + 4i + -3i = 0 Combine like terms: 4i + -3i = 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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