Respuesta :

We are given the following expression:

[tex]\frac{h}{-3}+5\frac{1}{2}=17[/tex]

We are asked to solve for "h". To do that we will first rewrite the mixed fraction in standard form:

[tex]\frac{h}{-3}+5+\frac{1}{2}=17[/tex]

Now we add 5 and 1/2, we get:

[tex]\frac{h}{-3}+\frac{11}{2}=17[/tex]

Now we subtract 11/2 from both sides:

[tex]\frac{h}{-3}=17-\frac{11}{2}[/tex]

Now we solve the difference:

[tex]\frac{h}{-3}=\frac{23}{2}[/tex]

Now we multiply both sides by -3:

[tex]h=-\frac{69}{2}[/tex]

Now we rewrite the numerator as follows:

[tex]h=-\frac{68+1}{2}[/tex]

Now we distribute the denominator:

[tex]h=-(\frac{68}{2}+\frac{1}{2})[/tex]

Simplifying we get:

[tex]h=-(34+\frac{1}{2})[/tex]

Now we can write the result as a mixed fraction:

[tex]h=-34\frac{1}{2}[/tex]

And thus we have solved for "h".

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