6[n-5]=-2n

Solution for 6[n-5]=-2n equation:

Simplifying
6[n + -5] = -2n

Reorder the terms:
6[-5 + n] = -2n
[-5 * 6 + n * 6] = -2n
[-30 + 6n] = -2n

Solving
-30 + 6n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-30 + 6n + 2n = -2n + 2n

Combine like terms: 6n + 2n = 8n
-30 + 8n = -2n + 2n

Combine like terms: -2n + 2n = 0
-30 + 8n = 0

Add '30' to each side of the equation.
-30 + 30 + 8n = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 8n = 0 + 30
8n = 0 + 30

Combine like terms: 0 + 30 = 30
8n = 30

Divide each side by '8'.
n = 3.75

Simplifying
n = 3.75