.4(3z+7)+12.8=.6(3z-4)

Solution for .4(3z+7)+12.8=.6(3z-4) equation:

Simplifying
0.4(3z + 7) + 12.8 = 0.6(3z + -4)

Reorder the terms:
0.4(7 + 3z) + 12.8 = 0.6(3z + -4)
(7 * 0.4 + 3z * 0.4) + 12.8 = 0.6(3z + -4)
(2.8 + 1.2z) + 12.8 = 0.6(3z + -4)

Reorder the terms:
2.8 + 12.8 + 1.2z = 0.6(3z + -4)

Combine like terms: 2.8 + 12.8 = 15.6
15.6 + 1.2z = 0.6(3z + -4)

Reorder the terms:
15.6 + 1.2z = 0.6(-4 + 3z)
15.6 + 1.2z = (-4 * 0.6 + 3z * 0.6)
15.6 + 1.2z = (-2.4 + 1.8z)

Solving
15.6 + 1.2z = -2.4 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
15.6 + 1.2z + -1.8z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.2z + -1.8z = -0.6z
15.6 + -0.6z = -2.4 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
15.6 + -0.6z = -2.4 + 0.0
15.6 + -0.6z = -2.4

Add '-15.6' to each side of the equation.
15.6 + -15.6 + -0.6z = -2.4 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + -0.6z = -2.4 + -15.6
-0.6z = -2.4 + -15.6

Combine like terms: -2.4 + -15.6 = -18
-0.6z = -18

Divide each side by '-0.6'.
z = 30

Simplifying
z = 30