-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 = 1z
-2.4 + 1z = 3.6 + -1.2z + 1.2z

Combine like terms: -1.2z + 1.2z = 0.0
-2.4 + 1z = 3.6 + 0.0
-2.4 + 1z = 3.6

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1z = 3.6 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1z = 3.6 + 2.4
1z = 3.6 + 2.4

Combine like terms: 3.6 + 2.4 = 6
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6