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Simplifying (-3 + 7i) + -1(8 + 4i) = 0 Remove parenthesis around (-3 + 7i) -3 + 7i + -1(8 + 4i) = 0 -3 + 7i + (8 * -1 + 4i * -1) = 0 -3 + 7i + (-8 + -4i) = 0 Reorder the terms: -3 + -8 + 7i + -4i = 0 Combine like terms: -3 + -8 = -11 -11 + 7i + -4i = 0 Combine like terms: 7i + -4i = 3i -11 + 3i = 0 Solving -11 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3i = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3i = 0 + 11 3i = 0 + 11 Combine like terms: 0 + 11 = 11 3i = 11 Divide each side by '3'. i = 3.666666667 Simplifying i = 3.666666667
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