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\left(2a\times \frac{5}{2}+2b\times \frac{5}{2}\right)a
Use the distributive property to multiply 2a+2b by \frac{5}{2}.
\left(5a+2b\times \frac{5}{2}\right)a
Cancel out 2 and 2.
\left(5a+5b\right)a
Cancel out 2 and 2.
5a^{2}+5ba
Use the distributive property to multiply 5a+5b by a.
\left(2a\times \frac{5}{2}+2b\times \frac{5}{2}\right)a
Use the distributive property to multiply 2a+2b by \frac{5}{2}.
\left(5a+2b\times \frac{5}{2}\right)a
Cancel out 2 and 2.
\left(5a+5b\right)a
Cancel out 2 and 2.
5a^{2}+5ba
Use the distributive property to multiply 5a+5b by a.