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Simplifying (-3 + -2i) + -1(12 + -5i) = 0 Remove parenthesis around (-3 + -2i) -3 + -2i + -1(12 + -5i) = 0 -3 + -2i + (12 * -1 + -5i * -1) = 0 -3 + -2i + (-12 + 5i) = 0 Reorder the terms: -3 + -12 + -2i + 5i = 0 Combine like terms: -3 + -12 = -15 -15 + -2i + 5i = 0 Combine like terms: -2i + 5i = 3i -15 + 3i = 0 Solving -15 + 3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3i = 0 + 15 3i = 0 + 15 Combine like terms: 0 + 15 = 15 3i = 15 Divide each side by '3'. i = 5 Simplifying i = 5
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