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9ab+3a-6b-2-b\left(2a-3\right)
Apply the distributive property by multiplying each term of 3a-2 by each term of 3b+1.
9ab+3a-6b-2-\left(2ba-3b\right)
Use the distributive property to multiply b by 2a-3.
9ab+3a-6b-2-2ba-\left(-3b\right)
To find the opposite of 2ba-3b, find the opposite of each term.
9ab+3a-6b-2-2ba+3b
The opposite of -3b is 3b.
7ab+3a-6b-2+3b
Combine 9ab and -2ba to get 7ab.
7ab+3a-3b-2
Combine -6b and 3b to get -3b.
9ab+3a-6b-2-b\left(2a-3\right)
Apply the distributive property by multiplying each term of 3a-2 by each term of 3b+1.
9ab+3a-6b-2-\left(2ba-3b\right)
Use the distributive property to multiply b by 2a-3.
9ab+3a-6b-2-2ba-\left(-3b\right)
To find the opposite of 2ba-3b, find the opposite of each term.
9ab+3a-6b-2-2ba+3b
The opposite of -3b is 3b.
7ab+3a-6b-2+3b
Combine 9ab and -2ba to get 7ab.
7ab+3a-3b-2
Combine -6b and 3b to get -3b.