105=6(2n+5)+3n

Solution for 105=6(2n+5)+3n equation:

Simplifying
105 = 6(2n + 5) + 3n

Reorder the terms:
105 = 6(5 + 2n) + 3n
105 = (5 * 6 + 2n * 6) + 3n
105 = (30 + 12n) + 3n

Combine like terms: 12n + 3n = 15n
105 = 30 + 15n

Solving
105 = 30 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
105 + -15n = 30 + 15n + -15n

Combine like terms: 15n + -15n = 0
105 + -15n = 30 + 0
105 + -15n = 30

Add '-105' to each side of the equation.
105 + -105 + -15n = 30 + -105

Combine like terms: 105 + -105 = 0
0 + -15n = 30 + -105
-15n = 30 + -105

Combine like terms: 30 + -105 = -75
-15n = -75

Divide each side by '-15'.
n = 5

Simplifying
n = 5