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Simplifying (5 + -6i) + -4i = 0 Remove parenthesis around (5 + -6i) 5 + -6i + -4i = 0 Combine like terms: -6i + -4i = -10i 5 + -10i = 0 Solving 5 + -10i = 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 + -10i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10i = 0 + -5 -10i = 0 + -5 Combine like terms: 0 + -5 = -5 -10i = -5 Divide each side by '-10'. i = 0.5 Simplifying i = 0.5
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