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

Solution for 4-[5+1-(4-3)]=a equation:

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

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

Multiply -1 * 1
4 + -1[5 + 1 + -1] = a

Combine like terms: 5 + 1 = 6
4 + -1[6 + -1] = a

Combine like terms: 6 + -1 = 5
4 + -1[5] = a

Multiply -1 * 5
4 + -5 = a

Combine like terms: 4 + -5 = -1
-1 = a

Solving
-1 = 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.
-1 + -1a = a + -1a

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

Add '1' to each side of the equation.
-1 + 1 + -1a = 0 + 1

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

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

Divide each side by '-1'.
a = -1

Simplifying
a = -1