3a-2(6a-4)=4-(4a+6)

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Solution for 3a-2(6a-4)=4-(4a+6) equation:


Simplifying
3a + -2(6a + -4) = 4 + -1(4a + 6)

Reorder the terms:
3a + -2(-4 + 6a) = 4 + -1(4a + 6)
3a + (-4 * -2 + 6a * -2) = 4 + -1(4a + 6)
3a + (8 + -12a) = 4 + -1(4a + 6)

Reorder the terms:
8 + 3a + -12a = 4 + -1(4a + 6)

Combine like terms: 3a + -12a = -9a
8 + -9a = 4 + -1(4a + 6)

Reorder the terms:
8 + -9a = 4 + -1(6 + 4a)
8 + -9a = 4 + (6 * -1 + 4a * -1)
8 + -9a = 4 + (-6 + -4a)

Combine like terms: 4 + -6 = -2
8 + -9a = -2 + -4a

Solving
8 + -9a = -2 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
8 + -9a + 4a = -2 + -4a + 4a

Combine like terms: -9a + 4a = -5a
8 + -5a = -2 + -4a + 4a

Combine like terms: -4a + 4a = 0
8 + -5a = -2 + 0
8 + -5a = -2

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

Combine like terms: 8 + -8 = 0
0 + -5a = -2 + -8
-5a = -2 + -8

Combine like terms: -2 + -8 = -10
-5a = -10

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

Simplifying
a = 2

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