(6+-1(5+-1z)+1z)+3(5+-1z)+1z=10

Solution for (6+-1(5+-1z)+1z)+3(5+-1z)+1z=10 equation:

Simplifying
(6 + -1(5 + -1z) + 1z) + 3(5 + -1z) + 1z = 10
(6 + (5 * -1 + -1z * -1) + 1z) + 3(5 + -1z) + 1z = 10
(6 + (-5 + 1z) + 1z) + 3(5 + -1z) + 1z = 10

Combine like terms: 6 + -5 = 1
(1 + 1z + 1z) + 3(5 + -1z) + 1z = 10

Combine like terms: 1z + 1z = 2z
(1 + 2z) + 3(5 + -1z) + 1z = 10

Remove parenthesis around (1 + 2z)
1 + 2z + 3(5 + -1z) + 1z = 10
1 + 2z + (5 * 3 + -1z * 3) + 1z = 10
1 + 2z + (15 + -3z) + 1z = 10

Reorder the terms:
1 + 15 + 2z + -3z + 1z = 10

Combine like terms: 1 + 15 = 16
16 + 2z + -3z + 1z = 10

Combine like terms: 2z + -3z = -1z
16 + -1z + 1z = 10

Combine like terms: -1z + 1z = 0
16 + 0 = 10
16 = 10

Solving
16 = 10

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.