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Verified Answer :

15(25-5a)=4-a
375-75a=4-a
Add 75a to both sides
375= 4+74a
Subtract 4 from both sides
371=74a
Divide both by 74
5.01=a

Answer:

The value of the equation for a is 371/74 or 5.0135.  

Step-by-step explanation:

Consider the provided equation.

\(15(25-5a)=4-a\)

We need to solve the provided equation for a.

Open the parentheses.

\(375-75a=4-a\)

Add a to both side.

\(375-75a+a=4-a+a\)

\(375-74a=4\)

Subtract 375 from both the sides.

\(375-375-74a=4-375\)

\(-74a=-371\)

Divide both the sides by -74.

\(a=\frac{371}{74}\)

Hence, the value of the equation for a is 371/74 or 5.0135.