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Simplifying (7 + 3i) + -1(-8 + -1i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + -1(-8 + -1i) = 0 7 + 3i + (-8 * -1 + -1i * -1) = 0 7 + 3i + (8 + 1i) = 0 Reorder the terms: 7 + 8 + 3i + 1i = 0 Combine like terms: 7 + 8 = 15 15 + 3i + 1i = 0 Combine like terms: 3i + 1i = 4i 15 + 4i = 0 Solving 15 + 4i = 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 + 4i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4i = 0 + -15 4i = 0 + -15 Combine like terms: 0 + -15 = -15 4i = -15 Divide each side by '4'. i = -3.75 Simplifying i = -3.75
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