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Simplifying (2 + 5i) + (6 + -1I) = 0 Remove parenthesis around (2 + 5i) 2 + 5i + (6 + -1I) = 0 Remove parenthesis around (6 + -1I) 2 + 5i + 6 + -1I = 0 Reorder the terms: 2 + 6 + -1I + 5i = 0 Combine like terms: 2 + 6 = 8 8 + -1I + 5i = 0 Solving 8 + -1I + 5i = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1I + -8 + 5i = 0 + -8 Reorder the terms: 8 + -8 + -1I + 5i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1I + 5i = 0 + -8 -1I + 5i = 0 + -8 Combine like terms: 0 + -8 = -8 -1I + 5i = -8 Add '-5i' to each side of the equation. -1I + 5i + -5i = -8 + -5i Combine like terms: 5i + -5i = 0 -1I + 0 = -8 + -5i -1I = -8 + -5i Divide each side by '-1'. I = 8 + 5i Simplifying I = 8 + 5i
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