-8z+2(1+z)=-6-38z

Solution for -8z+2(1+z)=-6-38z equation:

Simplifying
-8z + 2(1 + z) = -6 + -38z
-8z + (1 * 2 + z * 2) = -6 + -38z
-8z + (2 + 2z) = -6 + -38z

Reorder the terms:
2 + -8z + 2z = -6 + -38z

Combine like terms: -8z + 2z = -6z
2 + -6z = -6 + -38z

Solving
2 + -6z = -6 + -38z

Solving for variable 'z'.

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

Add '38z' to each side of the equation.
2 + -6z + 38z = -6 + -38z + 38z

Combine like terms: -6z + 38z = 32z
2 + 32z = -6 + -38z + 38z

Combine like terms: -38z + 38z = 0
2 + 32z = -6 + 0
2 + 32z = -6

Add '-2' to each side of the equation.
2 + -2 + 32z = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 32z = -6 + -2
32z = -6 + -2

Combine like terms: -6 + -2 = -8
32z = -8

Divide each side by '32'.
z = -0.25

Simplifying
z = -0.25