4(3-2a)-2(2-3a)=2(a+3)-(a-8)

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Solution for 4(3-2a)-2(2-3a)=2(a+3)-(a-8) equation: 


Simplifying
4(3 + -2a) + -2(2 + -3a) = 2(a + 3) + -1(a + -8)
(3 * 4 + -2a * 4) + -2(2 + -3a) = 2(a + 3) + -1(a + -8)
(12 + -8a) + -2(2 + -3a) = 2(a + 3) + -1(a + -8)
12 + -8a + (2 * -2 + -3a * -2) = 2(a + 3) + -1(a + -8)
12 + -8a + (-4 + 6a) = 2(a + 3) + -1(a + -8)

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

Combine like terms: 12 + -4 = 8
8 + -8a + 6a = 2(a + 3) + -1(a + -8)

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

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

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

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

Combine like terms: 6 + 8 = 14
8 + -2a = 14 + 2a + -1a

Combine like terms: 2a + -1a = 1a
8 + -2a = 14 + 1a

Solving
8 + -2a = 14 + 1a

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.
8 + -2a + -1a = 14 + 1a + -1a

Combine like terms: -2a + -1a = -3a
8 + -3a = 14 + 1a + -1a

Combine like terms: 1a + -1a = 0
8 + -3a = 14 + 0
8 + -3a = 14

Add '-8' to each side of the equation.
8 + -8 + -3a = 14 + -8

Combine like terms: 8 + -8 = 0
0 + -3a = 14 + -8
-3a = 14 + -8

Combine like terms: 14 + -8 = 6
-3a = 6

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

Simplifying
a = -2

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