82=4(2z+1)

Solution for 82=4(2z+1) equation:

Simplifying
82 = 4(2z + 1)

Reorder the terms:
82 = 4(1 + 2z)
82 = (1 * 4 + 2z * 4)
82 = (4 + 8z)

Solving
82 = 4 + 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.
82 + -8z = 4 + 8z + -8z

Combine like terms: 8z + -8z = 0
82 + -8z = 4 + 0
82 + -8z = 4

Add '-82' to each side of the equation.
82 + -82 + -8z = 4 + -82

Combine like terms: 82 + -82 = 0
0 + -8z = 4 + -82
-8z = 4 + -82

Combine like terms: 4 + -82 = -78
-8z = -78

Divide each side by '-8'.
z = 9.75

Simplifying
z = 9.75