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[tex]6z + 7 = 8z - 9[/tex]
[tex]8z - 9 = 6z + 7[/tex]
Add sides 9
[tex]8z - 9 + 9 = 6z + 7 + 9[/tex]
[tex]8z = 6z + 16[/tex]
Subtract sides 6z
[tex] - 6z + 8z = - 6z + 6z + 16[/tex]
[tex]2z = 16[/tex]
Divide sides by 2
[tex] \frac{2z}{2} = \frac{16}{2} \\ [/tex]
[tex]z = 8[/tex]
Thus ;
[tex]NP = 8z - 9[/tex]
[tex]NP = 8(8) - 9[/tex]
[tex]NP = 64 - 9[/tex]
[tex]NP = 64 - 4 - 5[/tex]
[tex]NP = 60 - 5[/tex]
[tex]NP = 55[/tex]
Done...
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