2z+6=2(11z-7)

Solution for 2z+6=2(11z-7) equation:

Simplifying
2z + 6 = 2(11z + -7)

Reorder the terms:
6 + 2z = 2(11z + -7)

Reorder the terms:
6 + 2z = 2(-7 + 11z)
6 + 2z = (-7 * 2 + 11z * 2)
6 + 2z = (-14 + 22z)

Solving
6 + 2z = -14 + 22z

Solving for variable 'z'.

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

Add '-22z' to each side of the equation.
6 + 2z + -22z = -14 + 22z + -22z

Combine like terms: 2z + -22z = -20z
6 + -20z = -14 + 22z + -22z

Combine like terms: 22z + -22z = 0
6 + -20z = -14 + 0
6 + -20z = -14

Add '-6' to each side of the equation.
6 + -6 + -20z = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -20z = -14 + -6
-20z = -14 + -6

Combine like terms: -14 + -6 = -20
-20z = -20

Divide each side by '-20'.
z = 1

Simplifying
z = 1