6a=13(3a-[6a+(3a-6)])+6

Solution for 6a=13(3a-[6a+(3a-6)])+6 equation:

Simplifying
6a = 13(3a + -1[6a + (3a + -6)]) + 6

Reorder the terms:
6a = 13(3a + -1[6a + (-6 + 3a)]) + 6

Remove parenthesis around (-6 + 3a)
6a = 13(3a + -1[6a + -6 + 3a]) + 6

Reorder the terms:
6a = 13(3a + -1[-6 + 6a + 3a]) + 6

Combine like terms: 6a + 3a = 9a
6a = 13(3a + -1[-6 + 9a]) + 6
6a = 13(3a + [-6 * -1 + 9a * -1]) + 6
6a = 13(3a + [6 + -9a]) + 6

Reorder the terms:
6a = 13(6 + 3a + -9a) + 6

Combine like terms: 3a + -9a = -6a
6a = 13(6 + -6a) + 6
6a = (6 * 13 + -6a * 13) + 6
6a = (78 + -78a) + 6

Reorder the terms:
6a = 78 + 6 + -78a

Combine like terms: 78 + 6 = 84
6a = 84 + -78a

Solving
6a = 84 + -78a

Solving for variable 'a'.

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

Add '78a' to each side of the equation.
6a + 78a = 84 + -78a + 78a

Combine like terms: 6a + 78a = 84a
84a = 84 + -78a + 78a

Combine like terms: -78a + 78a = 0
84a = 84 + 0
84a = 84

Divide each side by '84'.
a = 1

Simplifying
a = 1