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

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

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

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

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

Combine like terms: 5z + -7z = -2z
-1[-1 + -2z] = 1 + (1z + 5)
[-1 * -1 + -2z * -1] = 1 + (1z + 5)
[1 + 2z] = 1 + (1z + 5)

Reorder the terms:
1 + 2z = 1 + (5 + 1z)

Remove parenthesis around (5 + 1z)
1 + 2z = 1 + 5 + 1z

Combine like terms: 1 + 5 = 6
1 + 2z = 6 + 1z

Solving
1 + 2z = 6 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
1 + 2z + -1z = 6 + 1z + -1z

Combine like terms: 2z + -1z = 1z
1 + 1z = 6 + 1z + -1z

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

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

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

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

Divide each side by '1'.
z = 5

Simplifying
z = 5