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Simplifying 4i + (3 + 4i) = 0 Remove parenthesis around (3 + 4i) 4i + 3 + 4i = 0 Reorder the terms: 3 + 4i + 4i = 0 Combine like terms: 4i + 4i = 8i 3 + 8i = 0 Solving 3 + 8i = 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 + 8i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8i = 0 + -3 8i = 0 + -3 Combine like terms: 0 + -3 = -3 8i = -3 Divide each side by '8'. i = -0.375 Simplifying i = -0.375
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