Answer:
[tex]n=11.5[/tex]
Step-by-step explanation:
Given:
The two expressions are:
[tex](ny+25.7)+(-45.2y+13.9)=(n-45.2)y+39.6[/tex]
[tex]-33.7y+39.6[/tex]
If the above 2 expressions are equivalent, then the coefficients of [tex]y[/tex] should be equal for both the expressions.
The coefficient of [tex]y[/tex] in the first expression is:
[tex](n-45.2)[/tex].
The coefficient of [tex]y[/tex] in the second expression is:
[tex]-33.7[/tex].
Therefore,
[tex]n-45.2=-33.7\\n=-33.7+45.2=11.5[/tex]