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\left(69a+46\right)\left(2b-1\right)-\left(2a+4\right)b
Use the distributive property to multiply 23 by 3a+2.
138ab-69a+92b-46-\left(2a+4\right)b
Apply the distributive property by multiplying each term of 69a+46 by each term of 2b-1.
138ab-69a+92b-46-\left(2ab+4b\right)
Use the distributive property to multiply 2a+4 by b.
138ab-69a+92b-46-2ab-4b
To find the opposite of 2ab+4b, find the opposite of each term.
136ab-69a+92b-46-4b
Combine 138ab and -2ab to get 136ab.
136ab-69a+88b-46
Combine 92b and -4b to get 88b.
\left(69a+46\right)\left(2b-1\right)-\left(2a+4\right)b
Use the distributive property to multiply 23 by 3a+2.
138ab-69a+92b-46-\left(2a+4\right)b
Apply the distributive property by multiplying each term of 69a+46 by each term of 2b-1.
138ab-69a+92b-46-\left(2ab+4b\right)
Use the distributive property to multiply 2a+4 by b.
138ab-69a+92b-46-2ab-4b
To find the opposite of 2ab+4b, find the opposite of each term.
136ab-69a+92b-46-4b
Combine 138ab and -2ab to get 136ab.
136ab-69a+88b-46
Combine 92b and -4b to get 88b.