2z+6+-3(2z+4)=z+11

Solution for 2z+6+-3(2z+4)=z+11 equation:

Simplifying
2z + 6 + -3(2z + 4) = z + 11

Reorder the terms:
2z + 6 + -3(4 + 2z) = z + 11
2z + 6 + (4 * -3 + 2z * -3) = z + 11
2z + 6 + (-12 + -6z) = z + 11

Reorder the terms:
6 + -12 + 2z + -6z = z + 11

Combine like terms: 6 + -12 = -6
-6 + 2z + -6z = z + 11

Combine like terms: 2z + -6z = -4z
-6 + -4z = z + 11

Reorder the terms:
-6 + -4z = 11 + z

Solving
-6 + -4z = 11 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6 + -4z + -1z = 11 + z + -1z

Combine like terms: -4z + -1z = -5z
-6 + -5z = 11 + z + -1z

Combine like terms: z + -1z = 0
-6 + -5z = 11 + 0
-6 + -5z = 11

Add '6' to each side of the equation.
-6 + 6 + -5z = 11 + 6

Combine like terms: -6 + 6 = 0
0 + -5z = 11 + 6
-5z = 11 + 6

Combine like terms: 11 + 6 = 17
-5z = 17

Divide each side by '-5'.
z = -3.4

Simplifying
z = -3.4