z-1.4z-6.6=-(z+4.2)

Solution for z-1.4z-6.6=-(z+4.2) equation:

Simplifying
z + -1.4z + -6.6 = -1(z + 4.2)

Reorder the terms:
-6.6 + z + -1.4z = -1(z + 4.2)

Combine like terms: z + -1.4z = -0.4z
-6.6 + -0.4z = -1(z + 4.2)

Reorder the terms:
-6.6 + -0.4z = -1(4.2 + z)
-6.6 + -0.4z = (4.2 * -1 + z * -1)
-6.6 + -0.4z = (-4.2 + -1z)

Solving
-6.6 + -0.4z = -4.2 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-6.6 + -0.4z + z = -4.2 + -1z + z

Combine like terms: -0.4z + z = 0.6z
-6.6 + 0.6z = -4.2 + -1z + z

Combine like terms: -1z + z = 0
-6.6 + 0.6z = -4.2 + 0
-6.6 + 0.6z = -4.2

Add '6.6' to each side of the equation.
-6.6 + 6.6 + 0.6z = -4.2 + 6.6

Combine like terms: -6.6 + 6.6 = 0.0
0.0 + 0.6z = -4.2 + 6.6
0.6z = -4.2 + 6.6

Combine like terms: -4.2 + 6.6 = 2.4
0.6z = 2.4

Divide each side by '0.6'.
z = 4

Simplifying
z = 4