0.3(3z+6)+19.4=0.7(3z-4)

Solution for 0.3(3z+6)+19.4=0.7(3z-4) equation:

Simplifying
0.3(3z + 6) + 19.4 = 0.7(3z + -4)

Reorder the terms:
0.3(6 + 3z) + 19.4 = 0.7(3z + -4)
(6 * 0.3 + 3z * 0.3) + 19.4 = 0.7(3z + -4)
(1.8 + 0.9z) + 19.4 = 0.7(3z + -4)

Reorder the terms:
1.8 + 19.4 + 0.9z = 0.7(3z + -4)

Combine like terms: 1.8 + 19.4 = 21.2
21.2 + 0.9z = 0.7(3z + -4)

Reorder the terms:
21.2 + 0.9z = 0.7(-4 + 3z)
21.2 + 0.9z = (-4 * 0.7 + 3z * 0.7)
21.2 + 0.9z = (-2.8 + 2.1z)

Solving
21.2 + 0.9z = -2.8 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
21.2 + 0.9z + -2.1z = -2.8 + 2.1z + -2.1z

Combine like terms: 0.9z + -2.1z = -1.2z
21.2 + -1.2z = -2.8 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
21.2 + -1.2z = -2.8 + 0.0
21.2 + -1.2z = -2.8

Add '-21.2' to each side of the equation.
21.2 + -21.2 + -1.2z = -2.8 + -21.2

Combine like terms: 21.2 + -21.2 = 0.0
0.0 + -1.2z = -2.8 + -21.2
-1.2z = -2.8 + -21.2

Combine like terms: -2.8 + -21.2 = -24
-1.2z = -24

Divide each side by '-1.2'.
z = 20

Simplifying
z = 20