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Simplifying (10 + 15i) + -1(-13 + -8i) = 0 Remove parenthesis around (10 + 15i) 10 + 15i + -1(-13 + -8i) = 0 10 + 15i + (-13 * -1 + -8i * -1) = 0 10 + 15i + (13 + 8i) = 0 Reorder the terms: 10 + 13 + 15i + 8i = 0 Combine like terms: 10 + 13 = 23 23 + 15i + 8i = 0 Combine like terms: 15i + 8i = 23i 23 + 23i = 0 Solving 23 + 23i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 23i = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 23i = 0 + -23 23i = 0 + -23 Combine like terms: 0 + -23 = -23 23i = -23 Divide each side by '23'. i = -1 Simplifying i = -1
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