.3(42-18z)=2(8-4z)

Solution for .3(42-18z)=2(8-4z) equation:

Simplifying
0.3(42 + -18z) = 2(8 + -4z)
(42 * 0.3 + -18z * 0.3) = 2(8 + -4z)
(12.6 + -5.4z) = 2(8 + -4z)
12.6 + -5.4z = (8 * 2 + -4z * 2)
12.6 + -5.4z = (16 + -8z)

Solving
12.6 + -5.4z = 16 + -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
12.6 + -5.4z + 8z = 16 + -8z + 8z

Combine like terms: -5.4z + 8z = 2.6z
12.6 + 2.6z = 16 + -8z + 8z

Combine like terms: -8z + 8z = 0
12.6 + 2.6z = 16 + 0
12.6 + 2.6z = 16

Add '-12.6' to each side of the equation.
12.6 + -12.6 + 2.6z = 16 + -12.6

Combine like terms: 12.6 + -12.6 = 0.0
0.0 + 2.6z = 16 + -12.6
2.6z = 16 + -12.6

Combine like terms: 16 + -12.6 = 3.4
2.6z = 3.4

Divide each side by '2.6'.
z = 1.307692308

Simplifying
z = 1.307692308