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Simplifying 5 + -1(7 + 3i) + (-2 + -4i) = 0 5 + (7 * -1 + 3i * -1) + (-2 + -4i) = 0 5 + (-7 + -3i) + (-2 + -4i) = 0 Remove parenthesis around (-2 + -4i) 5 + -7 + -3i + -2 + -4i = 0 Reorder the terms: 5 + -7 + -2 + -3i + -4i = 0 Combine like terms: 5 + -7 = -2 -2 + -2 + -3i + -4i = 0 Combine like terms: -2 + -2 = -4 -4 + -3i + -4i = 0 Combine like terms: -3i + -4i = -7i -4 + -7i = 0 Solving -4 + -7i = 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 + -7i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7i = 0 + 4 -7i = 0 + 4 Combine like terms: 0 + 4 = 4 -7i = 4 Divide each side by '-7'. i = -0.5714285714 Simplifying i = -0.5714285714
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