1.5(6z+4)+2z=2(z-6)

Solution for 1.5(6z+4)+2z=2(z-6) equation:

Simplifying
1.5(6z + 4) + 2z = 2(z + -6)

Reorder the terms:
1.5(4 + 6z) + 2z = 2(z + -6)
(4 * 1.5 + 6z * 1.5) + 2z = 2(z + -6)
(6 + 9z) + 2z = 2(z + -6)

Combine like terms: 9z + 2z = 11z
6 + 11z = 2(z + -6)

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

Solving
6 + 11z = -12 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 11z + -2z = -12 + 2z + -2z

Combine like terms: 11z + -2z = 9z
6 + 9z = -12 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 9z = -12 + 0
6 + 9z = -12

Add '-6' to each side of the equation.
6 + -6 + 9z = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9z = -12 + -6
9z = -12 + -6

Combine like terms: -12 + -6 = -18
9z = -18

Divide each side by '9'.
z = -2

Simplifying
z = -2