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Simplifying (-3 + -2i) + -1(-5 + i) = 0 Remove parenthesis around (-3 + -2i) -3 + -2i + -1(-5 + i) = 0 -3 + -2i + (-5 * -1 + i * -1) = 0 -3 + -2i + (5 + -1i) = 0 Reorder the terms: -3 + 5 + -2i + -1i = 0 Combine like terms: -3 + 5 = 2 2 + -2i + -1i = 0 Combine like terms: -2i + -1i = -3i 2 + -3i = 0 Solving 2 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3i = 0 + -2 -3i = 0 + -2 Combine like terms: 0 + -2 = -2 -3i = -2 Divide each side by '-3'. i = 0.6666666667 Simplifying i = 0.6666666667
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