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Simplifying 11i + -1(4 + 7i) = 0 11i + (4 * -1 + 7i * -1) = 0 11i + (-4 + -7i) = 0 Reorder the terms: -4 + 11i + -7i = 0 Combine like terms: 11i + -7i = 4i -4 + 4i = 0 Solving -4 + 4i = 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 + 4i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4i = 0 + 4 4i = 0 + 4 Combine like terms: 0 + 4 = 4 4i = 4 Divide each side by '4'. i = 1 Simplifying i = 1
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