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Simplifying (3 + -2i) + -1(12 + -6i) = 0 Remove parenthesis around (3 + -2i) 3 + -2i + -1(12 + -6i) = 0 3 + -2i + (12 * -1 + -6i * -1) = 0 3 + -2i + (-12 + 6i) = 0 Reorder the terms: 3 + -12 + -2i + 6i = 0 Combine like terms: 3 + -12 = -9 -9 + -2i + 6i = 0 Combine like terms: -2i + 6i = 4i -9 + 4i = 0 Solving -9 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4i = 0 + 9 4i = 0 + 9 Combine like terms: 0 + 9 = 9 4i = 9 Divide each side by '4'. i = 2.25 Simplifying i = 2.25
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