3(n+5)-3(n-5)=-7n+n

Solution for 3(n+5)-3(n-5)=-7n+n equation:

Simplifying
3(n + 5) + -3(n + -5) = -7n + n

Reorder the terms:
3(5 + n) + -3(n + -5) = -7n + n
(5 * 3 + n * 3) + -3(n + -5) = -7n + n
(15 + 3n) + -3(n + -5) = -7n + n

Reorder the terms:
15 + 3n + -3(-5 + n) = -7n + n
15 + 3n + (-5 * -3 + n * -3) = -7n + n
15 + 3n + (15 + -3n) = -7n + n

Reorder the terms:
15 + 15 + 3n + -3n = -7n + n

Combine like terms: 15 + 15 = 30
30 + 3n + -3n = -7n + n

Combine like terms: 3n + -3n = 0
30 + 0 = -7n + n
30 = -7n + n

Combine like terms: -7n + n = -6n
30 = -6n

Solving
30 = -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.
30 + 6n = -6n + 6n

Combine like terms: -6n + 6n = 0
30 + 6n = 0

Add '-30' to each side of the equation.
30 + -30 + 6n = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 6n = 0 + -30
6n = 0 + -30

Combine like terms: 0 + -30 = -30
6n = -30

Divide each side by '6'.
n = -5

Simplifying
n = -5