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Simplifying (6 + -10i) + (8 + 4i) = 0 Remove parenthesis around (6 + -10i) 6 + -10i + (8 + 4i) = 0 Remove parenthesis around (8 + 4i) 6 + -10i + 8 + 4i = 0 Reorder the terms: 6 + 8 + -10i + 4i = 0 Combine like terms: 6 + 8 = 14 14 + -10i + 4i = 0 Combine like terms: -10i + 4i = -6i 14 + -6i = 0 Solving 14 + -6i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6i = 0 + -14 -6i = 0 + -14 Combine like terms: 0 + -14 = -14 -6i = -14 Divide each side by '-6'. i = 2.333333333 Simplifying i = 2.333333333
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