2a-11+3a=9+a

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Solution for 2a-11+3a=9+a equation:


Simplifying
2a + -11 + 3a = 9 + a

Reorder the terms:
-11 + 2a + 3a = 9 + a

Combine like terms: 2a + 3a = 5a
-11 + 5a = 9 + a

Solving
-11 + 5a = 9 + a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1a' to each side of the equation.
-11 + 5a + -1a = 9 + a + -1a

Combine like terms: 5a + -1a = 4a
-11 + 4a = 9 + a + -1a

Combine like terms: a + -1a = 0
-11 + 4a = 9 + 0
-11 + 4a = 9

Add '11' to each side of the equation.
-11 + 11 + 4a = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 4a = 9 + 11
4a = 9 + 11

Combine like terms: 9 + 11 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5

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