-8z+6(z+7)=1

Solution for -8z+6(z+7)=1 equation:

Simplifying
-8z + 6(z + 7) = 1

Reorder the terms:
-8z + 6(7 + z) = 1
-8z + (7 * 6 + z * 6) = 1
-8z + (42 + 6z) = 1

Reorder the terms:
42 + -8z + 6z = 1

Combine like terms: -8z + 6z = -2z
42 + -2z = 1

Solving
42 + -2z = 1

Solving for variable 'z'.

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

Add '-42' to each side of the equation.
42 + -42 + -2z = 1 + -42

Combine like terms: 42 + -42 = 0
0 + -2z = 1 + -42
-2z = 1 + -42

Combine like terms: 1 + -42 = -41
-2z = -41

Divide each side by '-2'.
z = 20.5

Simplifying
z = 20.5