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Simplifying Z + (3 + -1I) = 6 + 21 Remove parenthesis around (3 + -1I) Z + 3 + -1I = 6 + 21 Reorder the terms: 3 + -1I + Z = 6 + 21 Combine like terms: 6 + 21 = 27 3 + -1I + Z = 27 Solving 3 + -1I + Z = 27 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1I + -3 + Z = 27 + -3 Reorder the terms: 3 + -3 + -1I + Z = 27 + -3 Combine like terms: 3 + -3 = 0 0 + -1I + Z = 27 + -3 -1I + Z = 27 + -3 Combine like terms: 27 + -3 = 24 -1I + Z = 24 Add '-1Z' to each side of the equation. -1I + Z + -1Z = 24 + -1Z Combine like terms: Z + -1Z = 0 -1I + 0 = 24 + -1Z -1I = 24 + -1Z Divide each side by '-1'. I = -24 + Z Simplifying I = -24 + Z
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