5a+22=3a-4+6a+2

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Solution for 5a+22=3a-4+6a+2 equation: 


Simplifying
5a + 22 = 3a + -4 + 6a + 2

Reorder the terms:
22 + 5a = 3a + -4 + 6a + 2

Reorder the terms:
22 + 5a = -4 + 2 + 3a + 6a

Combine like terms: -4 + 2 = -2
22 + 5a = -2 + 3a + 6a

Combine like terms: 3a + 6a = 9a
22 + 5a = -2 + 9a

Solving
22 + 5a = -2 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
22 + 5a + -9a = -2 + 9a + -9a

Combine like terms: 5a + -9a = -4a
22 + -4a = -2 + 9a + -9a

Combine like terms: 9a + -9a = 0
22 + -4a = -2 + 0
22 + -4a = -2

Add '-22' to each side of the equation.
22 + -22 + -4a = -2 + -22

Combine like terms: 22 + -22 = 0
0 + -4a = -2 + -22
-4a = -2 + -22

Combine like terms: -2 + -22 = -24
-4a = -24

Divide each side by '-4'.
a = 6

Simplifying
a = 6

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