-(z+6)+(6z+1)=2(z+1)

Solution for -(z+6)+(6z+1)=2(z+1) equation:

Simplifying
-1(z + 6) + (6z + 1) = 2(z + 1)

Reorder the terms:
-1(6 + z) + (6z + 1) = 2(z + 1)
(6 * -1 + z * -1) + (6z + 1) = 2(z + 1)
(-6 + -1z) + (6z + 1) = 2(z + 1)

Reorder the terms:
-6 + -1z + (1 + 6z) = 2(z + 1)

Remove parenthesis around (1 + 6z)
-6 + -1z + 1 + 6z = 2(z + 1)

Reorder the terms:
-6 + 1 + -1z + 6z = 2(z + 1)

Combine like terms: -6 + 1 = -5
-5 + -1z + 6z = 2(z + 1)

Combine like terms: -1z + 6z = 5z
-5 + 5z = 2(z + 1)

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

Solving
-5 + 5z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-5 + 5z + -2z = 2 + 2z + -2z

Combine like terms: 5z + -2z = 3z
-5 + 3z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-5 + 3z = 2 + 0
-5 + 3z = 2

Add '5' to each side of the equation.
-5 + 5 + 3z = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 3z = 2 + 5
3z = 2 + 5

Combine like terms: 2 + 5 = 7
3z = 7

Divide each side by '3'.
z = 2.333333333

Simplifying
z = 2.333333333