6a=14(3a-[6a+(3a-5)])+6

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Solution for 6a=14(3a-[6a+(3a-5)])+6 equation: 


Simplifying
6a = 14(3a + -1[6a + (3a + -5)]) + 6

Reorder the terms:
6a = 14(3a + -1[6a + (-5 + 3a)]) + 6

Remove parenthesis around (-5 + 3a)
6a = 14(3a + -1[6a + -5 + 3a]) + 6

Reorder the terms:
6a = 14(3a + -1[-5 + 6a + 3a]) + 6

Combine like terms: 6a + 3a = 9a
6a = 14(3a + -1[-5 + 9a]) + 6
6a = 14(3a + [-5 * -1 + 9a * -1]) + 6
6a = 14(3a + [5 + -9a]) + 6

Reorder the terms:
6a = 14(5 + 3a + -9a) + 6

Combine like terms: 3a + -9a = -6a
6a = 14(5 + -6a) + 6
6a = (5 * 14 + -6a * 14) + 6
6a = (70 + -84a) + 6

Reorder the terms:
6a = 70 + 6 + -84a

Combine like terms: 70 + 6 = 76
6a = 76 + -84a

Solving
6a = 76 + -84a

Solving for variable 'a'.

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

Add '84a' to each side of the equation.
6a + 84a = 76 + -84a + 84a

Combine like terms: 6a + 84a = 90a
90a = 76 + -84a + 84a

Combine like terms: -84a + 84a = 0
90a = 76 + 0
90a = 76

Divide each side by '90'.
a = 0.8444444444

Simplifying
a = 0.8444444444

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