27=3(2n+1)

Solution for 27=3(2n+1) equation:

Simplifying
27 = 3(2n + 1)

Reorder the terms:
27 = 3(1 + 2n)
27 = (1 * 3 + 2n * 3)
27 = (3 + 6n)

Solving
27 = 3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
27 + -6n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
27 + -6n = 3 + 0
27 + -6n = 3

Add '-27' to each side of the equation.
27 + -27 + -6n = 3 + -27

Combine like terms: 27 + -27 = 0
0 + -6n = 3 + -27
-6n = 3 + -27

Combine like terms: 3 + -27 = -24
-6n = -24

Divide each side by '-6'.
n = 4

Simplifying
n = 4