4a-(a-2)=2(3a-2)

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


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

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

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

Combine like terms: 4a + -1a = 3a
2 + 3a = 2(3a + -2)

Reorder the terms:
2 + 3a = 2(-2 + 3a)
2 + 3a = (-2 * 2 + 3a * 2)
2 + 3a = (-4 + 6a)

Solving
2 + 3a = -4 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
2 + 3a + -6a = -4 + 6a + -6a

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

Combine like terms: 6a + -6a = 0
2 + -3a = -4 + 0
2 + -3a = -4

Add '-2' to each side of the equation.
2 + -2 + -3a = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = -4 + -2
-3a = -4 + -2

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

Divide each side by '-3'.
a = 2

Simplifying
a = 2

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