0.2(z+12)=0.4(9-3z)

Solution for 0.2(z+12)=0.4(9-3z) equation:

Simplifying
0.2(z + 12) = 0.4(9 + -3z)

Reorder the terms:
0.2(12 + z) = 0.4(9 + -3z)
(12 * 0.2 + z * 0.2) = 0.4(9 + -3z)
(2.4 + 0.2z) = 0.4(9 + -3z)
2.4 + 0.2z = (9 * 0.4 + -3z * 0.4)
2.4 + 0.2z = (3.6 + -1.2z)

Solving
2.4 + 0.2z = 3.6 + -1.2z

Solving for variable 'z'.

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

Add '1.2z' to each side of the equation.
2.4 + 0.2z + 1.2z = 3.6 + -1.2z + 1.2z

Combine like terms: 0.2z + 1.2z = 1.4z
2.4 + 1.4z = 3.6 + -1.2z + 1.2z

Combine like terms: -1.2z + 1.2z = 0.0
2.4 + 1.4z = 3.6 + 0.0
2.4 + 1.4z = 3.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1.4z = 3.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1.4z = 3.6 + -2.4
1.4z = 3.6 + -2.4

Combine like terms: 3.6 + -2.4 = 1.2
1.4z = 1.2

Divide each side by '1.4'.
z = 0.8571428571

Simplifying
z = 0.8571428571