The values of the expressions are -17/3, -29/3 and 13/3
The equation is given as:
z-4/4+8= z + 9
Rewrite properly as
[tex]\frac{z-4}{4}+8= z + 9[/tex]
Subtract 8 from both sides
[tex]\frac{z-4}{4}= z + 1[/tex]
Multiply through by 4
z - 4 = 4z + 4
Evaluate the like terms
3z = -8
Divide by 3
z = -8/3
Substitute z = -8/3 in z - 3, z - 7 and z + 7
z - 3 = -8/3 - 3 = -17/3
z - 7 = -8/3 - 7 = -29/3
z + 7 = -8/3 + 7 = 13/3
Hence, the values of the expressions are -17/3, -29/3 and 13/3
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