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

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

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

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

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

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

Remove brackets around [-6 + -11z]
-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 = -21z
-6 + -21z = 7 + 10z + -10z

Combine like terms: 10z + -10z = 0
-6 + -21z = 7 + 0
-6 + -21z = 7

Add '6' to each side of the equation.
-6 + 6 + -21z = 7 + 6

Combine like terms: -6 + 6 = 0
0 + -21z = 7 + 6
-21z = 7 + 6

Combine like terms: 7 + 6 = 13
-21z = 13

Divide each side by '-21'.
z = -0.619047619

Simplifying
z = -0.619047619