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Simplifying (5 + 3i) + -1(-1 + -1i) = 0 Remove parenthesis around (5 + 3i) 5 + 3i + -1(-1 + -1i) = 0 5 + 3i + (-1 * -1 + -1i * -1) = 0 5 + 3i + (1 + 1i) = 0 Reorder the terms: 5 + 1 + 3i + 1i = 0 Combine like terms: 5 + 1 = 6 6 + 3i + 1i = 0 Combine like terms: 3i + 1i = 4i 6 + 4i = 0 Solving 6 + 4i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4i = 0 + -6 4i = 0 + -6 Combine like terms: 0 + -6 = -6 4i = -6 Divide each side by '4'. i = -1.5 Simplifying i = -1.5
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