3a=3(8a-[5a+(8a-2)])+2

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Solution for 3a=3(8a-[5a+(8a-2)])+2 equation: 


Simplifying
3a = 3(8a + -1[5a + (8a + -2)]) + 2

Reorder the terms:
3a = 3(8a + -1[5a + (-2 + 8a)]) + 2

Remove parenthesis around (-2 + 8a)
3a = 3(8a + -1[5a + -2 + 8a]) + 2

Reorder the terms:
3a = 3(8a + -1[-2 + 5a + 8a]) + 2

Combine like terms: 5a + 8a = 13a
3a = 3(8a + -1[-2 + 13a]) + 2
3a = 3(8a + [-2 * -1 + 13a * -1]) + 2
3a = 3(8a + [2 + -13a]) + 2

Reorder the terms:
3a = 3(2 + 8a + -13a) + 2

Combine like terms: 8a + -13a = -5a
3a = 3(2 + -5a) + 2
3a = (2 * 3 + -5a * 3) + 2
3a = (6 + -15a) + 2

Reorder the terms:
3a = 6 + 2 + -15a

Combine like terms: 6 + 2 = 8
3a = 8 + -15a

Solving
3a = 8 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
3a + 15a = 8 + -15a + 15a

Combine like terms: 3a + 15a = 18a
18a = 8 + -15a + 15a

Combine like terms: -15a + 15a = 0
18a = 8 + 0
18a = 8

Divide each side by '18'.
a = 0.4444444444

Simplifying
a = 0.4444444444

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