8a+3-4a+2=9a-11+a

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Solution for 8a+3-4a+2=9a-11+a equation:


Simplifying
8a + 3 + -4a + 2 = 9a + -11 + a

Reorder the terms:
3 + 2 + 8a + -4a = 9a + -11 + a

Combine like terms: 3 + 2 = 5
5 + 8a + -4a = 9a + -11 + a

Combine like terms: 8a + -4a = 4a
5 + 4a = 9a + -11 + a

Reorder the terms:
5 + 4a = -11 + 9a + a

Combine like terms: 9a + a = 10a
5 + 4a = -11 + 10a

Solving
5 + 4a = -11 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
5 + 4a + -10a = -11 + 10a + -10a

Combine like terms: 4a + -10a = -6a
5 + -6a = -11 + 10a + -10a

Combine like terms: 10a + -10a = 0
5 + -6a = -11 + 0
5 + -6a = -11

Add '-5' to each side of the equation.
5 + -5 + -6a = -11 + -5

Combine like terms: 5 + -5 = 0
0 + -6a = -11 + -5
-6a = -11 + -5

Combine like terms: -11 + -5 = -16
-6a = -16

Divide each side by '-6'.
a = 2.666666667

Simplifying
a = 2.666666667

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