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Simplifying (-4 + 4i) + -1(3 + -6i) = 0 Remove parenthesis around (-4 + 4i) -4 + 4i + -1(3 + -6i) = 0 -4 + 4i + (3 * -1 + -6i * -1) = 0 -4 + 4i + (-3 + 6i) = 0 Reorder the terms: -4 + -3 + 4i + 6i = 0 Combine like terms: -4 + -3 = -7 -7 + 4i + 6i = 0 Combine like terms: 4i + 6i = 10i -7 + 10i = 0 Solving -7 + 10i = 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 + 10i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10i = 0 + 7 10i = 0 + 7 Combine like terms: 0 + 7 = 7 10i = 7 Divide each side by '10'. i = 0.7 Simplifying i = 0.7
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