8z-6=-2(4z+3)

Solution for 8z-6=-2(4z+3) equation:

Simplifying
8z + -6 = -2(4z + 3)

Reorder the terms:
-6 + 8z = -2(4z + 3)

Reorder the terms:
-6 + 8z = -2(3 + 4z)
-6 + 8z = (3 * -2 + 4z * -2)
-6 + 8z = (-6 + -8z)

Add '6' to each side of the equation.
-6 + 6 + 8z = -6 + 6 + -8z

Combine like terms: -6 + 6 = 0
0 + 8z = -6 + 6 + -8z
8z = -6 + 6 + -8z

Combine like terms: -6 + 6 = 0
8z = 0 + -8z
8z = -8z

Solving
8z = -8z

Solving for variable 'z'.

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

Add '8z' to each side of the equation.
8z + 8z = -8z + 8z

Combine like terms: 8z + 8z = 16z
16z = -8z + 8z

Combine like terms: -8z + 8z = 0
16z = 0

Divide each side by '16'.
z = 0

Simplifying
z = 0