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Simplifying (4 + -3i) + -1(-5 + 4i) = 0 Remove parenthesis around (4 + -3i) 4 + -3i + -1(-5 + 4i) = 0 4 + -3i + (-5 * -1 + 4i * -1) = 0 4 + -3i + (5 + -4i) = 0 Reorder the terms: 4 + 5 + -3i + -4i = 0 Combine like terms: 4 + 5 = 9 9 + -3i + -4i = 0 Combine like terms: -3i + -4i = -7i 9 + -7i = 0 Solving 9 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7i = 0 + -9 -7i = 0 + -9 Combine like terms: 0 + -9 = -9 -7i = -9 Divide each side by '-7'. i = 1.285714286 Simplifying i = 1.285714286
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