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Simplifying (11 + -12i) + (21 + -8i) = 0 Remove parenthesis around (11 + -12i) 11 + -12i + (21 + -8i) = 0 Remove parenthesis around (21 + -8i) 11 + -12i + 21 + -8i = 0 Reorder the terms: 11 + 21 + -12i + -8i = 0 Combine like terms: 11 + 21 = 32 32 + -12i + -8i = 0 Combine like terms: -12i + -8i = -20i 32 + -20i = 0 Solving 32 + -20i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -20i = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -20i = 0 + -32 -20i = 0 + -32 Combine like terms: 0 + -32 = -32 -20i = -32 Divide each side by '-20'. i = 1.6 Simplifying i = 1.6
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