2(42-1)=3(z+2)

Solution for 2(42-1)=3(z+2) equation:

Simplifying
2(42 + -1) = 3(z + 2)

Combine like terms: 42 + -1 = 41
2(41) = 3(z + 2)

Multiply 2 * 41
82 = 3(z + 2)

Reorder the terms:
82 = 3(2 + z)
82 = (2 * 3 + z * 3)
82 = (6 + 3z)

Solving
82 = 6 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
82 + -3z = 6 + 3z + -3z

Combine like terms: 3z + -3z = 0
82 + -3z = 6 + 0
82 + -3z = 6

Add '-82' to each side of the equation.
82 + -82 + -3z = 6 + -82

Combine like terms: 82 + -82 = 0
0 + -3z = 6 + -82
-3z = 6 + -82

Combine like terms: 6 + -82 = -76
-3z = -76

Divide each side by '-3'.
z = 25.33333333

Simplifying
z = 25.33333333