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Simplifying abs(z + -2i) + abs(z + 2i) + -8 = 0 Reorder the terms: abs(-2i + z) + abs(z + 2i) + -8 = 0 (-2i * abs + z * abs) + abs(z + 2i) + -8 = 0 (-2abis + absz) + abs(z + 2i) + -8 = 0 Reorder the terms: -2abis + absz + abs(2i + z) + -8 = 0 -2abis + absz + (2i * abs + z * abs) + -8 = 0 -2abis + absz + (2abis + absz) + -8 = 0 Reorder the terms: -8 + -2abis + 2abis + absz + absz = 0 Combine like terms: -2abis + 2abis = 0 -8 + 0 + absz + absz = 0 -8 + absz + absz = 0 Combine like terms: absz + absz = 2absz -8 + 2absz = 0 Solving -8 + 2absz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2absz = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2absz = 0 + 8 2absz = 0 + 8 Combine like terms: 0 + 8 = 8 2absz = 8 Divide each side by '2bsz'. a = 4b-1s-1z-1 Simplifying a = 4b-1s-1z-1
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