3z+6=8w+13

Solution for 3z+6=8w+13 equation:

Simplifying
3z + 6 = 8w + 13

Reorder the terms:
6 + 3z = 8w + 13

Reorder the terms:
6 + 3z = 13 + 8w

Solving
6 + 3z = 13 + 8w

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 3z = 13 + -6 + 8w

Combine like terms: 6 + -6 = 0
0 + 3z = 13 + -6 + 8w
3z = 13 + -6 + 8w

Combine like terms: 13 + -6 = 7
3z = 7 + 8w

Divide each side by '3'.
z = 2.333333333 + 2.666666667w

Simplifying
z = 2.333333333 + 2.666666667w