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Simplifying abs(z) = abs(z + i) Multiply abs * z absz = abs(z + i) Reorder the terms: absz = abs(i + z) absz = (i * abs + z * abs) absz = (abis + absz) Add '-1absz' to each side of the equation. absz + -1absz = abis + absz + -1absz Combine like terms: absz + -1absz = 0 0 = abis + absz + -1absz Combine like terms: absz + -1absz = 0 0 = abis + 0 0 = abis Solving 0 = abis Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1abis' to each side of the equation. 0 + -1abis = abis + -1abis Remove the zero: -1abis = abis + -1abis Combine like terms: abis + -1abis = 0 -1abis = 0 Divide each side by '-1'. abis = 0 Simplifying abis = 0 The solution to this equation could not be determined.
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