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Simplifying Z + (12 + -1i) = 4 + 13i Remove parenthesis around (12 + -1i) Z + 12 + -1i = 4 + 13i Reorder the terms: 12 + Z + -1i = 4 + 13i Solving 12 + Z + -1i = 4 + 13i Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + Z + -12 + -1i = 4 + -12 + 13i Reorder the terms: 12 + -12 + Z + -1i = 4 + -12 + 13i Combine like terms: 12 + -12 = 0 0 + Z + -1i = 4 + -12 + 13i Z + -1i = 4 + -12 + 13i Combine like terms: 4 + -12 = -8 Z + -1i = -8 + 13i Add 'i' to each side of the equation. Z + -1i + i = -8 + 13i + i Combine like terms: -1i + i = 0 Z + 0 = -8 + 13i + i Z = -8 + 13i + i Combine like terms: 13i + i = 14i Z = -8 + 14i Simplifying Z = -8 + 14i
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