6+3(5n+3)-n=

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

Simplifying
6 + 3(5n + 3) + -1n = 0

Reorder the terms:
6 + 3(3 + 5n) + -1n = 0
6 + (3 * 3 + 5n * 3) + -1n = 0
6 + (9 + 15n) + -1n = 0

Combine like terms: 6 + 9 = 15
15 + 15n + -1n = 0

Combine like terms: 15n + -1n = 14n
15 + 14n = 0

Solving
15 + 14n = 0

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 14n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 14n = 0 + -15
14n = 0 + -15

Combine like terms: 0 + -15 = -15
14n = -15

Divide each side by '14'.
n = -1.071428571

Simplifying
n = -1.071428571