1+4(3z+8)=38

Solution for 1+4(3z+8)=38 equation:

Simplifying
1 + 4(3z + 8) = 38

Reorder the terms:
1 + 4(8 + 3z) = 38
1 + (8 * 4 + 3z * 4) = 38
1 + (32 + 12z) = 38

Combine like terms: 1 + 32 = 33
33 + 12z = 38

Solving
33 + 12z = 38

Solving for variable 'z'.

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

Add '-33' to each side of the equation.
33 + -33 + 12z = 38 + -33

Combine like terms: 33 + -33 = 0
0 + 12z = 38 + -33
12z = 38 + -33

Combine like terms: 38 + -33 = 5
12z = 5

Divide each side by '12'.
z = 0.4166666667

Simplifying
z = 0.4166666667