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

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

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

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

Reorder the terms:
6 + 11z = 6(-2 + 6z)
6 + 11z = (-2 * 6 + 6z * 6)
6 + 11z = (-12 + 36z)

Solving
6 + 11z = -12 + 36z

Solving for variable 'z'.

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

Add '-36z' to each side of the equation.
6 + 11z + -36z = -12 + 36z + -36z

Combine like terms: 11z + -36z = -25z
6 + -25z = -12 + 36z + -36z

Combine like terms: 36z + -36z = 0
6 + -25z = -12 + 0
6 + -25z = -12

Add '-6' to each side of the equation.
6 + -6 + -25z = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -25z = -12 + -6
-25z = -12 + -6

Combine like terms: -12 + -6 = -18
-25z = -18

Divide each side by '-25'.
z = 0.72

Simplifying
z = 0.72