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Simplifying (-12 + 3i) + -1(7 + -5i) = 0 Remove parenthesis around (-12 + 3i) -12 + 3i + -1(7 + -5i) = 0 -12 + 3i + (7 * -1 + -5i * -1) = 0 -12 + 3i + (-7 + 5i) = 0 Reorder the terms: -12 + -7 + 3i + 5i = 0 Combine like terms: -12 + -7 = -19 -19 + 3i + 5i = 0 Combine like terms: 3i + 5i = 8i -19 + 8i = 0 Solving -19 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8i = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8i = 0 + 19 8i = 0 + 19 Combine like terms: 0 + 19 = 19 8i = 19 Divide each side by '8'. i = 2.375 Simplifying i = 2.375
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