3a+2=a-6

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Solution for 3a+2=a-6 equation:


Simplifying
3a + 2 = a + -6

Reorder the terms:
2 + 3a = a + -6

Reorder the terms:
2 + 3a = -6 + a

Solving
2 + 3a = -6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
2 + 3a + -1a = -6 + a + -1a

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

Combine like terms: a + -1a = 0
2 + 2a = -6 + 0
2 + 2a = -6

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

Combine like terms: 2 + -2 = 0
0 + 2a = -6 + -2
2a = -6 + -2

Combine like terms: -6 + -2 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4

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