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Simplifying (8 + -5i) + -1(-11 + 4i) = 0 Remove parenthesis around (8 + -5i) 8 + -5i + -1(-11 + 4i) = 0 8 + -5i + (-11 * -1 + 4i * -1) = 0 8 + -5i + (11 + -4i) = 0 Reorder the terms: 8 + 11 + -5i + -4i = 0 Combine like terms: 8 + 11 = 19 19 + -5i + -4i = 0 Combine like terms: -5i + -4i = -9i 19 + -9i = 0 Solving 19 + -9i = 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 + -9i = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -9i = 0 + -19 -9i = 0 + -19 Combine like terms: 0 + -19 = -19 -9i = -19 Divide each side by '-9'. i = 2.111111111 Simplifying i = 2.111111111
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