4.2z=-4(0.4z-1.4)

Solution for 4.2z=-4(0.4z-1.4) equation:

Simplifying
4.2z = -4(0.4z + -1.4)

Reorder the terms:
4.2z = -4(-1.4 + 0.4z)
4.2z = (-1.4 * -4 + 0.4z * -4)
4.2z = (5.6 + -1.6z)

Solving
4.2z = 5.6 + -1.6z

Solving for variable 'z'.

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

Add '1.6z' to each side of the equation.
4.2z + 1.6z = 5.6 + -1.6z + 1.6z

Combine like terms: 4.2z + 1.6z = 5.8z
5.8z = 5.6 + -1.6z + 1.6z

Combine like terms: -1.6z + 1.6z = 0.0
5.8z = 5.6 + 0.0
5.8z = 5.6

Divide each side by '5.8'.
z = 0.9655172414

Simplifying
z = 0.9655172414