4(3.9-z)=6(z+8.2)

Solution for 4(3.9-z)=6(z+8.2) equation:

Simplifying
4(3.9 + -1z) = 6(z + 8.2)
(3.9 * 4 + -1z * 4) = 6(z + 8.2)
(15.6 + -4z) = 6(z + 8.2)

Reorder the terms:
15.6 + -4z = 6(8.2 + z)
15.6 + -4z = (8.2 * 6 + z * 6)
15.6 + -4z = (49.2 + 6z)

Solving
15.6 + -4z = 49.2 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
15.6 + -4z + -6z = 49.2 + 6z + -6z

Combine like terms: -4z + -6z = -10z
15.6 + -10z = 49.2 + 6z + -6z

Combine like terms: 6z + -6z = 0
15.6 + -10z = 49.2 + 0
15.6 + -10z = 49.2

Add '-15.6' to each side of the equation.
15.6 + -15.6 + -10z = 49.2 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + -10z = 49.2 + -15.6
-10z = 49.2 + -15.6

Combine like terms: 49.2 + -15.6 = 33.6
-10z = 33.6

Divide each side by '-10'.
z = -3.36

Simplifying
z = -3.36