3a-2(4a-1)=38+a

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Solution for 3a-2(4a-1)=38+a equation: 


Simplifying
3a + -2(4a + -1) = 38 + a

Reorder the terms:
3a + -2(-1 + 4a) = 38 + a
3a + (-1 * -2 + 4a * -2) = 38 + a
3a + (2 + -8a) = 38 + a

Reorder the terms:
2 + 3a + -8a = 38 + a

Combine like terms: 3a + -8a = -5a
2 + -5a = 38 + a

Solving
2 + -5a = 38 + 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 + -5a + -1a = 38 + a + -1a

Combine like terms: -5a + -1a = -6a
2 + -6a = 38 + a + -1a

Combine like terms: a + -1a = 0
2 + -6a = 38 + 0
2 + -6a = 38

Add '-2' to each side of the equation.
2 + -2 + -6a = 38 + -2

Combine like terms: 2 + -2 = 0
0 + -6a = 38 + -2
-6a = 38 + -2

Combine like terms: 38 + -2 = 36
-6a = 36

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

Simplifying
a = -6

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