6a=3(3a-[a+(4a-5)])+5

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Solution for 6a=3(3a-[a+(4a-5)])+5 equation:


Simplifying
6a = 3(3a + -1[a + (4a + -5)]) + 5

Reorder the terms:
6a = 3(3a + -1[a + (-5 + 4a)]) + 5

Remove parenthesis around (-5 + 4a)
6a = 3(3a + -1[a + -5 + 4a]) + 5

Reorder the terms:
6a = 3(3a + -1[-5 + a + 4a]) + 5

Combine like terms: a + 4a = 5a
6a = 3(3a + -1[-5 + 5a]) + 5
6a = 3(3a + [-5 * -1 + 5a * -1]) + 5
6a = 3(3a + [5 + -5a]) + 5

Reorder the terms:
6a = 3(5 + 3a + -5a) + 5

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

Reorder the terms:
6a = 15 + 5 + -6a

Combine like terms: 15 + 5 = 20
6a = 20 + -6a

Solving
6a = 20 + -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.
6a + 6a = 20 + -6a + 6a

Combine like terms: 6a + 6a = 12a
12a = 20 + -6a + 6a

Combine like terms: -6a + 6a = 0
12a = 20 + 0
12a = 20

Divide each side by '12'.
a = 1.666666667

Simplifying
a = 1.666666667

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