6a-(a-2)=3a-8

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Solution for 6a-(a-2)=3a-8 equation: 


Simplifying
6a + -1(a + -2) = 3a + -8

Reorder the terms:
6a + -1(-2 + a) = 3a + -8
6a + (-2 * -1 + a * -1) = 3a + -8
6a + (2 + -1a) = 3a + -8

Reorder the terms:
2 + 6a + -1a = 3a + -8

Combine like terms: 6a + -1a = 5a
2 + 5a = 3a + -8

Reorder the terms:
2 + 5a = -8 + 3a

Solving
2 + 5a = -8 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2 + 5a + -3a = -8 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
2 + 2a = -8 + 0
2 + 2a = -8

Add '-2' to each side of the equation.
2 + -2 + 2a = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 2a = -8 + -2
2a = -8 + -2

Combine like terms: -8 + -2 = -10
2a = -10

Divide each side by '2'.
a = -5

Simplifying
a = -5

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