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Simplifying (-4 + 3i) + -1(-1 + 6i) = 0 Remove parenthesis around (-4 + 3i) -4 + 3i + -1(-1 + 6i) = 0 -4 + 3i + (-1 * -1 + 6i * -1) = 0 -4 + 3i + (1 + -6i) = 0 Reorder the terms: -4 + 1 + 3i + -6i = 0 Combine like terms: -4 + 1 = -3 -3 + 3i + -6i = 0 Combine like terms: 3i + -6i = -3i -3 + -3i = 0 Solving -3 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3i = 0 + 3 -3i = 0 + 3 Combine like terms: 0 + 3 = 3 -3i = 3 Divide each side by '-3'. i = -1 Simplifying i = -1
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