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Simplifying 4i + -1(7 + -4i) = 0 4i + (7 * -1 + -4i * -1) = 0 4i + (-7 + 4i) = 0 Reorder the terms: -7 + 4i + 4i = 0 Combine like terms: 4i + 4i = 8i -7 + 8i = 0 Solving -7 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8i = 0 + 7 8i = 0 + 7 Combine like terms: 0 + 7 = 7 8i = 7 Divide each side by '8'. i = 0.875 Simplifying i = 0.875
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