Respuesta :

We are given the following expression:

[tex]-u-\frac{1}{2}=\frac{7}{5}u-\frac{3}{5}[/tex]

We are asked to solve for "u". To do that we will first subtract 7u/5 on both sides:

[tex]-u-\frac{7}{5}u-\frac{1}{2}=\frac{7}{5}u-\frac{3}{5}-\frac{7}{5}u[/tex]

Solving the operations:

[tex]-\frac{12}{5}u-\frac{1}{2}=-\frac{3}{5}[/tex]

Now we add 1/2 on both sides:

[tex]-\frac{12}{5}u-\frac{1}{2}+\frac{1}{2}=-\frac{3}{5}+\frac{1}{2}[/tex]

Solving the operations:

[tex]-\frac{12}{5}u=-\frac{1}{10}[/tex]

Now we multiply both sides by 5

[tex]-12u=-\frac{1}{10}(5)[/tex]

Simplifying the fraction to the right:

[tex]-12u=-\frac{1}{2}[/tex]

Now we divide by -12

[tex]u=(-\frac{1}{12})(-\frac{1}{2})[/tex]

Solving the operations we get:

[tex]u=\frac{1}{24}[/tex]

Therefore the result of solving for "u" is: u = 1/24

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