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

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

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

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

Combine like terms: -1z + -1z = -2z
1(1 + -2z) + 3(5 + z) + z = 10
(1 * 1 + -2z * 1) + 3(5 + z) + z = 10
(1 + -2z) + 3(5 + z) + z = 10
1 + -2z + (5 * 3 + z * 3) + z = 10
1 + -2z + (15 + 3z) + z = 10

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

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

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

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

Solving
16 + 2z = 10

Solving for variable 'z'.

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

Add '-16' to each side of the equation.
16 + -16 + 2z = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 2z = 10 + -16
2z = 10 + -16

Combine like terms: 10 + -16 = -6
2z = -6

Divide each side by '2'.
z = -3

Simplifying
z = -3