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2a+1=10-a
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2a+1+a=10
Add a to both sides.
3a+1=10
Combine 2a and a to get 3a.
3a=10-1
Subtract 1 from both sides.
3a=9
Subtract 1 from 10 to get 9.
a=\frac{9}{3}
Divide both sides by 3.
a=3
Divide 9 by 3 to get 3.