2(3z+1)-(z-6)=

Solution for 2(3z+1)-(z-6)= equation:

Simplifying
2(3z + 1) + -1(z + -6) = 0

Reorder the terms:
2(1 + 3z) + -1(z + -6) = 0
(1 * 2 + 3z * 2) + -1(z + -6) = 0
(2 + 6z) + -1(z + -6) = 0

Reorder the terms:
2 + 6z + -1(-6 + z) = 0
2 + 6z + (-6 * -1 + z * -1) = 0
2 + 6z + (6 + -1z) = 0

Reorder the terms:
2 + 6 + 6z + -1z = 0

Combine like terms: 2 + 6 = 8
8 + 6z + -1z = 0

Combine like terms: 6z + -1z = 5z
8 + 5z = 0

Solving
8 + 5z = 0

Solving for variable 'z'.

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

Add '-8' to each side of the equation.
8 + -8 + 5z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5z = 0 + -8
5z = 0 + -8

Combine like terms: 0 + -8 = -8
5z = -8

Divide each side by '5'.
z = -1.6

Simplifying
z = -1.6