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\left(0.8a-1.2b\right)b-3a\left(a-2b\right)
Use the distributive property to multiply 2a-3b by 0.4.
0.8ab-1.2b^{2}-3a\left(a-2b\right)
Use the distributive property to multiply 0.8a-1.2b by b.
0.8ab-1.2b^{2}-3a^{2}+6ab
Use the distributive property to multiply -3a by a-2b.
6.8ab-1.2b^{2}-3a^{2}
Combine 0.8ab and 6ab to get 6.8ab.
\left(0.8a-1.2b\right)b-3a\left(a-2b\right)
Use the distributive property to multiply 2a-3b by 0.4.
0.8ab-1.2b^{2}-3a\left(a-2b\right)
Use the distributive property to multiply 0.8a-1.2b by b.
0.8ab-1.2b^{2}-3a^{2}+6ab
Use the distributive property to multiply -3a by a-2b.
6.8ab-1.2b^{2}-3a^{2}
Combine 0.8ab and 6ab to get 6.8ab.