Respuesta :

We are given the following expression:

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

We need to find the value of z when y = 6. Thus:

[tex]-6+z(\frac{8}{2}+4)=5z+4[/tex]

First, we can solve the parentheses:

[tex]\begin{gathered} -6+z(4+4)=5z+4 \\ . \\ -6+8z=5z+4 \end{gathered}[/tex]

Now, we can add 6 on both sides, and subtract 5z on both sides:

[tex]8z-5z=4+6[/tex]

Simplify:

[tex]3z=10[/tex]

Divide by 3 on both sides:

[tex]z=\frac{10}{3}\approx3.333333...[/tex]

Rounded to 2 decimals, the answer is:

z = 3.33,

Thus, OPTION A is the correct answer.

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