Respuesta :

Solution

step 1

Write the equation.

[tex]9\text{ = }\frac{v\text{ + 4}}{v\text{ + 12}}[/tex]

Step 2

Multiply both sides of the equation by v + 12.

[tex]\begin{gathered} 9\times(v+12)\text{ = \lparen v+12\rparen}\times\frac{v+4}{v+12} \\ \\ Cancel\text{ out common factors:} \\ \\ 9v\text{ + 108 = v + 4} \\ \\ 9v\text{ - v = 4 - 108} \\ \\ 8v\text{ = =-104} \\ \\ Divide\text{ both sides by 8:} \\ \\ \frac{8v}{8}\text{ = }\frac{-104}{8} \\ \\ v\text{ = -13} \end{gathered}[/tex]

Final answer

v = -13

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