8a+2-4a+2=9a-16+a

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Solution for 8a+2-4a+2=9a-16+a equation:


Simplifying
8a + 2 + -4a + 2 = 9a + -16 + a

Reorder the terms:
2 + 2 + 8a + -4a = 9a + -16 + a

Combine like terms: 2 + 2 = 4
4 + 8a + -4a = 9a + -16 + a

Combine like terms: 8a + -4a = 4a
4 + 4a = 9a + -16 + a

Reorder the terms:
4 + 4a = -16 + 9a + a

Combine like terms: 9a + a = 10a
4 + 4a = -16 + 10a

Solving
4 + 4a = -16 + 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.
4 + 4a + -10a = -16 + 10a + -10a

Combine like terms: 4a + -10a = -6a
4 + -6a = -16 + 10a + -10a

Combine like terms: 10a + -10a = 0
4 + -6a = -16 + 0
4 + -6a = -16

Add '-4' to each side of the equation.
4 + -4 + -6a = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -6a = -16 + -4
-6a = -16 + -4

Combine like terms: -16 + -4 = -20
-6a = -20

Divide each side by '-6'.
a = 3.333333333

Simplifying
a = 3.333333333

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