-[3z-(13z+6)]=6+(9z+1)

Solution for -[3z-(13z+6)]=6+(9z+1) equation:

Simplifying
-1[3z + -1(13z + 6)] = 6 + (9z + 1)

Reorder the terms:
-1[3z + -1(6 + 13z)] = 6 + (9z + 1)
-1[3z + (6 * -1 + 13z * -1)] = 6 + (9z + 1)
-1[3z + (-6 + -13z)] = 6 + (9z + 1)

Reorder the terms:
-1[-6 + 3z + -13z] = 6 + (9z + 1)

Combine like terms: 3z + -13z = -10z
-1[-6 + -10z] = 6 + (9z + 1)
[-6 * -1 + -10z * -1] = 6 + (9z + 1)
[6 + 10z] = 6 + (9z + 1)

Reorder the terms:
6 + 10z = 6 + (1 + 9z)

Remove parenthesis around (1 + 9z)
6 + 10z = 6 + 1 + 9z

Combine like terms: 6 + 1 = 7
6 + 10z = 7 + 9z

Solving
6 + 10z = 7 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
6 + 10z + -9z = 7 + 9z + -9z

Combine like terms: 10z + -9z = 1z
6 + 1z = 7 + 9z + -9z

Combine like terms: 9z + -9z = 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