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Simplifying (4 + 3i) + -1(-8 + -8i) = 0 Remove parenthesis around (4 + 3i) 4 + 3i + -1(-8 + -8i) = 0 4 + 3i + (-8 * -1 + -8i * -1) = 0 4 + 3i + (8 + 8i) = 0 Reorder the terms: 4 + 8 + 3i + 8i = 0 Combine like terms: 4 + 8 = 12 12 + 3i + 8i = 0 Combine like terms: 3i + 8i = 11i 12 + 11i = 0 Solving 12 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11i = 0 + -12 11i = 0 + -12 Combine like terms: 0 + -12 = -12 11i = -12 Divide each side by '11'. i = -1.090909091 Simplifying i = -1.090909091
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