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Enter the value of n so that the expression (ny+25.7)+(−45.2y+13.9) is equivalent to (−33.7y+39.6). n=
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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]

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