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Simplifying (16 + -12i) + -1(11 + -11i) = 0 Remove parenthesis around (16 + -12i) 16 + -12i + -1(11 + -11i) = 0 16 + -12i + (11 * -1 + -11i * -1) = 0 16 + -12i + (-11 + 11i) = 0 Reorder the terms: 16 + -11 + -12i + 11i = 0 Combine like terms: 16 + -11 = 5 5 + -12i + 11i = 0 Combine like terms: -12i + 11i = -1i 5 + -1i = 0 Solving 5 + -1i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1i = 0 + -5 -1i = 0 + -5 Combine like terms: 0 + -5 = -5 -1i = -5 Divide each side by '-1'. i = 5 Simplifying i = 5
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