9+6a-14=8-a-6+4a

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Solution for 9+6a-14=8-a-6+4a equation:


Simplifying
9 + 6a + -14 = 8 + -1a + -6 + 4a

Reorder the terms:
9 + -14 + 6a = 8 + -1a + -6 + 4a

Combine like terms: 9 + -14 = -5
-5 + 6a = 8 + -1a + -6 + 4a

Reorder the terms:
-5 + 6a = 8 + -6 + -1a + 4a

Combine like terms: 8 + -6 = 2
-5 + 6a = 2 + -1a + 4a

Combine like terms: -1a + 4a = 3a
-5 + 6a = 2 + 3a

Solving
-5 + 6a = 2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-5 + 6a + -3a = 2 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-5 + 3a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
-5 + 3a = 2 + 0
-5 + 3a = 2

Add '5' to each side of the equation.
-5 + 5 + 3a = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 3a = 2 + 5
3a = 2 + 5

Combine like terms: 2 + 5 = 7
3a = 7

Divide each side by '3'.
a = 2.333333333

Simplifying
a = 2.333333333

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