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Simplifying (8 + 7i) + -1(12 + -4i) = 0 Remove parenthesis around (8 + 7i) 8 + 7i + -1(12 + -4i) = 0 8 + 7i + (12 * -1 + -4i * -1) = 0 8 + 7i + (-12 + 4i) = 0 Reorder the terms: 8 + -12 + 7i + 4i = 0 Combine like terms: 8 + -12 = -4 -4 + 7i + 4i = 0 Combine like terms: 7i + 4i = 11i -4 + 11i = 0 Solving -4 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 11i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11i = 0 + 4 11i = 0 + 4 Combine like terms: 0 + 4 = 4 11i = 4 Divide each side by '11'. i = 0.3636363636 Simplifying i = 0.3636363636
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