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Simplifying (4 + 5i) + -1(-7 + i) = 0 Remove parenthesis around (4 + 5i) 4 + 5i + -1(-7 + i) = 0 4 + 5i + (-7 * -1 + i * -1) = 0 4 + 5i + (7 + -1i) = 0 Reorder the terms: 4 + 7 + 5i + -1i = 0 Combine like terms: 4 + 7 = 11 11 + 5i + -1i = 0 Combine like terms: 5i + -1i = 4i 11 + 4i = 0 Solving 11 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4i = 0 + -11 4i = 0 + -11 Combine like terms: 0 + -11 = -11 4i = -11 Divide each side by '4'. i = -2.75 Simplifying i = -2.75
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