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3\left(2a+48\right)=2\left(6a+3\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6a+144=2\left(6a+3\right)
Use the distributive property to multiply 3 by 2a+48.
6a+144=12a+6
Use the distributive property to multiply 2 by 6a+3.
6a+144-12a=6
Subtract 12a from both sides.
-6a+144=6
Combine 6a and -12a to get -6a.
-6a=6-144
Subtract 144 from both sides.
-6a=-138
Subtract 144 from 6 to get -138.
a=\frac{-138}{-6}
Divide both sides by -6.
a=23
Divide -138 by -6 to get 23.