6a-9=2a+11

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Solution for 6a-9=2a+11 equation:


Simplifying
6a + -9 = 2a + 11

Reorder the terms:
-9 + 6a = 2a + 11

Reorder the terms:
-9 + 6a = 11 + 2a

Solving
-9 + 6a = 11 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-9 + 6a + -2a = 11 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-9 + 4a = 11 + 2a + -2a

Combine like terms: 2a + -2a = 0
-9 + 4a = 11 + 0
-9 + 4a = 11

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

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

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

Divide each side by '4'.
a = 5

Simplifying
a = 5

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