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2ab-2ac-b\left(2a-c\right)+c\left(2a-3b\right)
Use the distributive property to multiply 2a by b-c.
2ab-2ac-\left(2ba-bc\right)+c\left(2a-3b\right)
Use the distributive property to multiply b by 2a-c.
2ab-2ac-2ba-\left(-bc\right)+c\left(2a-3b\right)
To find the opposite of 2ba-bc, find the opposite of each term.
-2ac-\left(-bc\right)+c\left(2a-3b\right)
Combine 2ab and -2ba to get 0.
-2ac+bc+c\left(2a-3b\right)
The opposite of -bc is bc.
-2ac+bc+2ca-3cb
Use the distributive property to multiply c by 2a-3b.
bc-3cb
Combine -2ac and 2ca to get 0.
-2bc
Combine bc and -3cb to get -2bc.
2ab-2ac-b\left(2a-c\right)+c\left(2a-3b\right)
Use the distributive property to multiply 2a by b-c.
2ab-2ac-\left(2ba-bc\right)+c\left(2a-3b\right)
Use the distributive property to multiply b by 2a-c.
2ab-2ac-2ba-\left(-bc\right)+c\left(2a-3b\right)
To find the opposite of 2ba-bc, find the opposite of each term.
-2ac-\left(-bc\right)+c\left(2a-3b\right)
Combine 2ab and -2ba to get 0.
-2ac+bc+c\left(2a-3b\right)
The opposite of -bc is bc.
-2ac+bc+2ca-3cb
Use the distributive property to multiply c by 2a-3b.
bc-3cb
Combine -2ac and 2ca to get 0.
-2bc
Combine bc and -3cb to get -2bc.