-(z-6)=0.5(4z-8)

Solution for -(z-6)=0.5(4z-8) equation:

Simplifying
-1(z + -6) = 0.5(4z + -8)

Reorder the terms:
-1(-6 + z) = 0.5(4z + -8)
(-6 * -1 + z * -1) = 0.5(4z + -8)
(6 + -1z) = 0.5(4z + -8)

Reorder the terms:
6 + -1z = 0.5(-8 + 4z)
6 + -1z = (-8 * 0.5 + 4z * 0.5)
6 + -1z = (-4 + 2z)

Solving
6 + -1z = -4 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + -1z + -2z = -4 + 2z + -2z

Combine like terms: -1z + -2z = -3z
6 + -3z = -4 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + -3z = -4 + 0
6 + -3z = -4

Add '-6' to each side of the equation.
6 + -6 + -3z = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -3z = -4 + -6
-3z = -4 + -6

Combine like terms: -4 + -6 = -10
-3z = -10

Divide each side by '-3'.
z = 3.333333333

Simplifying
z = 3.333333333