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Simplifying (7 + 5i) + -1(-9 + i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + -1(-9 + i) = 0 7 + 5i + (-9 * -1 + i * -1) = 0 7 + 5i + (9 + -1i) = 0 Reorder the terms: 7 + 9 + 5i + -1i = 0 Combine like terms: 7 + 9 = 16 16 + 5i + -1i = 0 Combine like terms: 5i + -1i = 4i 16 + 4i = 0 Solving 16 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4i = 0 + -16 4i = 0 + -16 Combine like terms: 0 + -16 = -16 4i = -16 Divide each side by '4'. i = -4 Simplifying i = -4
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