-[7z-(18z+5)]=5+(10z+1)

Solution for -[7z-(18z+5)]=5+(10z+1) equation:

Simplifying
-1[7z + -1(18z + 5)] = 5 + (10z + 1)

Reorder the terms:
-1[7z + -1(5 + 18z)] = 5 + (10z + 1)
-1[7z + (5 * -1 + 18z * -1)] = 5 + (10z + 1)
-1[7z + (-5 + -18z)] = 5 + (10z + 1)

Reorder the terms:
-1[-5 + 7z + -18z] = 5 + (10z + 1)

Combine like terms: 7z + -18z = -11z
-1[-5 + -11z] = 5 + (10z + 1)
[-5 * -1 + -11z * -1] = 5 + (10z + 1)
[5 + 11z] = 5 + (10z + 1)

Reorder the terms:
5 + 11z = 5 + (1 + 10z)

Remove parenthesis around (1 + 10z)
5 + 11z = 5 + 1 + 10z

Combine like terms: 5 + 1 = 6
5 + 11z = 6 + 10z

Solving
5 + 11z = 6 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
5 + 11z + -10z = 6 + 10z + -10z

Combine like terms: 11z + -10z = 1z
5 + 1z = 6 + 10z + -10z

Combine like terms: 10z + -10z = 0
5 + 1z = 6 + 0
5 + 1z = 6

Add '-5' to each side of the equation.
5 + -5 + 1z = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = 6 + -5
1z = 6 + -5

Combine like terms: 6 + -5 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1