-[7z-(15z+6)]=6+(7z+1)

Solution for -[7z-(15z+6)]=6+(7z+1) equation:

Simplifying
-1[7z + -1(15z + 6)] = 6 + (7z + 1)

Reorder the terms:
-1[7z + -1(6 + 15z)] = 6 + (7z + 1)
-1[7z + (6 * -1 + 15z * -1)] = 6 + (7z + 1)
-1[7z + (-6 + -15z)] = 6 + (7z + 1)

Reorder the terms:
-1[-6 + 7z + -15z] = 6 + (7z + 1)

Combine like terms: 7z + -15z = -8z
-1[-6 + -8z] = 6 + (7z + 1)
[-6 * -1 + -8z * -1] = 6 + (7z + 1)
[6 + 8z] = 6 + (7z + 1)

Reorder the terms:
6 + 8z = 6 + (1 + 7z)

Remove parenthesis around (1 + 7z)
6 + 8z = 6 + 1 + 7z

Combine like terms: 6 + 1 = 7
6 + 8z = 7 + 7z

Solving
6 + 8z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
6 + 8z + -7z = 7 + 7z + -7z

Combine like terms: 8z + -7z = 1z
6 + 1z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
6 + 1z = 7 + 0
6 + 1z = 7

Add '-6' to each side of the equation.
6 + -6 + 1z = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 7 + -6
1z = 7 + -6

Combine like terms: 7 + -6 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1