Question

write an equivalent expression.

15a - 20 + 10a = 5 (___a - ___

Answer 1

To write an equivalent expression for \( 15a - 20 + 10a \), we first combine the like terms on the left side.

Combine \( 15a \) and \( 10a \):
\[
15a + 10a = 25a
\]

Now, include the constant term:
\[
15a - 20 + 10a = 25a - 20
\]

Next, we need to express this in the form \( 5(___a - ____) \).
We can factor out 5 from the expression \( 25a - 20 \):
\[
25a - 20 = 5(5a - 4)
\]

So, the equivalent expression is:
\[
5(5a - 4)
\]

Thus, filling in the blanks:
\( 15a - 20 + 10a = 5(5a - 4) \), where the answers for blanks are \( 5 \) and \( 4 \).