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ab+3a+2b+6=ab+6
Use the distributive property to multiply a+2 by b+3.
ab+3a+2b+6-ab=6
Subtract ab from both sides.
3a+2b+6=6
Combine ab and -ab to get 0.
3a+6=6-2b
Subtract 2b from both sides.
3a=6-2b-6
Subtract 6 from both sides.
3a=-2b
Subtract 6 from 6 to get 0.
\frac{3a}{3}=-\frac{2b}{3}
Divide both sides by 3.
a=-\frac{2b}{3}
Dividing by 3 undoes the multiplication by 3.
ab+3a+2b+6=ab+6
Use the distributive property to multiply a+2 by b+3.
ab+3a+2b+6-ab=6
Subtract ab from both sides.
3a+2b+6=6
Combine ab and -ab to get 0.
2b+6=6-3a
Subtract 3a from both sides.
2b=6-3a-6
Subtract 6 from both sides.
2b=-3a
Subtract 6 from 6 to get 0.
\frac{2b}{2}=-\frac{3a}{2}
Divide both sides by 2.
b=-\frac{3a}{2}
Dividing by 2 undoes the multiplication by 2.