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Simplifying (7 + i) + -1(3 + -4i) = 0 Remove parenthesis around (7 + i) 7 + i + -1(3 + -4i) = 0 7 + i + (3 * -1 + -4i * -1) = 0 7 + i + (-3 + 4i) = 0 Reorder the terms: 7 + -3 + i + 4i = 0 Combine like terms: 7 + -3 = 4 4 + i + 4i = 0 Combine like terms: i + 4i = 5i 4 + 5i = 0 Solving 4 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5i = 0 + -4 5i = 0 + -4 Combine like terms: 0 + -4 = -4 5i = -4 Divide each side by '5'. i = -0.8 Simplifying i = -0.8
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