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Simplifying (4 + -9i) + -1(-15 + 8i) = 0 Remove parenthesis around (4 + -9i) 4 + -9i + -1(-15 + 8i) = 0 4 + -9i + (-15 * -1 + 8i * -1) = 0 4 + -9i + (15 + -8i) = 0 Reorder the terms: 4 + 15 + -9i + -8i = 0 Combine like terms: 4 + 15 = 19 19 + -9i + -8i = 0 Combine like terms: -9i + -8i = -17i 19 + -17i = 0 Solving 19 + -17i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -17i = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -17i = 0 + -19 -17i = 0 + -19 Combine like terms: 0 + -19 = -19 -17i = -19 Divide each side by '-17'. i = 1.117647059 Simplifying i = 1.117647059
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