105=3(5+6n)

Solution for 105=3(5+6n) equation:

Simplifying
105 = 3(5 + 6n)
105 = (5 * 3 + 6n * 3)
105 = (15 + 18n)

Solving
105 = 15 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
105 + -18n = 15 + 18n + -18n

Combine like terms: 18n + -18n = 0
105 + -18n = 15 + 0
105 + -18n = 15

Add '-105' to each side of the equation.
105 + -105 + -18n = 15 + -105

Combine like terms: 105 + -105 = 0
0 + -18n = 15 + -105
-18n = 15 + -105

Combine like terms: 15 + -105 = -90
-18n = -90

Divide each side by '-18'.
n = 5

Simplifying
n = 5