-[6z-(17z+6)]=6+(10z+1)

Solution for -[6z-(17z+6)]=6+(10z+1) equation:

Simplifying
-1[6z + -1(17z + 6)] = 6 + (10z + 1)

Reorder the terms:
-1[6z + -1(6 + 17z)] = 6 + (10z + 1)
-1[6z + (6 * -1 + 17z * -1)] = 6 + (10z + 1)
-1[6z + (-6 + -17z)] = 6 + (10z + 1)

Reorder the terms:
-1[-6 + 6z + -17z] = 6 + (10z + 1)

Combine like terms: 6z + -17z = -11z
-1[-6 + -11z] = 6 + (10z + 1)
[-6 * -1 + -11z * -1] = 6 + (10z + 1)
[6 + 11z] = 6 + (10z + 1)

Reorder the terms:
6 + 11z = 6 + (1 + 10z)

Remove parenthesis around (1 + 10z)
6 + 11z = 6 + 1 + 10z

Combine like terms: 6 + 1 = 7
6 + 11z = 7 + 10z

Solving
6 + 11z = 7 + 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.
6 + 11z + -10z = 7 + 10z + -10z

Combine like terms: 11z + -10z = 1z
6 + 1z = 7 + 10z + -10z

Combine like terms: 10z + -10z = 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