Answer :

[tex]\frac{5}{z + 2} = \frac{4}{z - 3} \\5(z - 3) = 4(z + 2) \\5(z) - 5(3) = 4(z) + 4(2) \\5z - 15 = 4z + 8 \\z - 15 = 8 \\z = 23 [/tex]

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