4a-[7-2(a-1)]-11=a

Solution for 4a-[7-2(a-1)]-11=a equation:

Simplifying
4a + -1[7 + -2(a + -1)] + -11 = a

Reorder the terms:
4a + -1[7 + -2(-1 + a)] + -11 = a
4a + -1[7 + (-1 * -2 + a * -2)] + -11 = a
4a + -1[7 + (2 + -2a)] + -11 = a

Combine like terms: 7 + 2 = 9
4a + -1[9 + -2a] + -11 = a
4a + [9 * -1 + -2a * -1] + -11 = a
4a + [-9 + 2a] + -11 = a

Reorder the terms:
-9 + -11 + 4a + 2a = a

Combine like terms: -9 + -11 = -20
-20 + 4a + 2a = a

Combine like terms: 4a + 2a = 6a
-20 + 6a = a

Solving
-20 + 6a = a

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.
-20 + 6a + -1a = a + -1a

Combine like terms: 6a + -1a = 5a
-20 + 5a = a + -1a

Combine like terms: a + -1a = 0
-20 + 5a = 0

Add '20' to each side of the equation.
-20 + 20 + 5a = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 5a = 0 + 20
5a = 0 + 20

Combine like terms: 0 + 20 = 20
5a = 20

Divide each side by '5'.
a = 4

Simplifying
a = 4