2a-9=6a+22

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Solution for 2a-9=6a+22 equation:


Simplifying
2a + -9 = 6a + 22

Reorder the terms:
-9 + 2a = 6a + 22

Reorder the terms:
-9 + 2a = 22 + 6a

Solving
-9 + 2a = 22 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-9 + 2a + -6a = 22 + 6a + -6a

Combine like terms: 2a + -6a = -4a
-9 + -4a = 22 + 6a + -6a

Combine like terms: 6a + -6a = 0
-9 + -4a = 22 + 0
-9 + -4a = 22

Add '9' to each side of the equation.
-9 + 9 + -4a = 22 + 9

Combine like terms: -9 + 9 = 0
0 + -4a = 22 + 9
-4a = 22 + 9

Combine like terms: 22 + 9 = 31
-4a = 31

Divide each side by '-4'.
a = -7.75

Simplifying
a = -7.75

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