3n+2(n+1)=32

Solution for 3n+2(n+1)=32 equation:

Simplifying
3n + 2(n + 1) = 32

Reorder the terms:
3n + 2(1 + n) = 32
3n + (1 * 2 + n * 2) = 32
3n + (2 + 2n) = 32

Reorder the terms:
2 + 3n + 2n = 32

Combine like terms: 3n + 2n = 5n
2 + 5n = 32

Solving
2 + 5n = 32

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 5n = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 5n = 32 + -2
5n = 32 + -2

Combine like terms: 32 + -2 = 30
5n = 30

Divide each side by '5'.
n = 6

Simplifying
n = 6