-12z-6=6(2z+1)

Solution for -12z-6=6(2z+1) equation:

Simplifying
-12z + -6 = 6(2z + 1)

Reorder the terms:
-6 + -12z = 6(2z + 1)

Reorder the terms:
-6 + -12z = 6(1 + 2z)
-6 + -12z = (1 * 6 + 2z * 6)
-6 + -12z = (6 + 12z)

Solving
-6 + -12z = 6 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
-6 + -12z + -12z = 6 + 12z + -12z

Combine like terms: -12z + -12z = -24z
-6 + -24z = 6 + 12z + -12z

Combine like terms: 12z + -12z = 0
-6 + -24z = 6 + 0
-6 + -24z = 6

Add '6' to each side of the equation.
-6 + 6 + -24z = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -24z = 6 + 6
-24z = 6 + 6

Combine like terms: 6 + 6 = 12
-24z = 12

Divide each side by '-24'.
z = -0.5

Simplifying
z = -0.5