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Simplifying (4 + -3i) + -1(7 + 2i) = 0 Remove parenthesis around (4 + -3i) 4 + -3i + -1(7 + 2i) = 0 4 + -3i + (7 * -1 + 2i * -1) = 0 4 + -3i + (-7 + -2i) = 0 Reorder the terms: 4 + -7 + -3i + -2i = 0 Combine like terms: 4 + -7 = -3 -3 + -3i + -2i = 0 Combine like terms: -3i + -2i = -5i -3 + -5i = 0 Solving -3 + -5i = 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 + -5i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5i = 0 + 3 -5i = 0 + 3 Combine like terms: 0 + 3 = 3 -5i = 3 Divide each side by '-5'. i = -0.6 Simplifying i = -0.6
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