3000=n(825-400)

Solution for 3000=n(825-400) equation:

Simplifying
3000 = n(825 + -400)

Combine like terms: 825 + -400 = 425
3000 = n(425)

Reorder the terms for easier multiplication:
3000 = 425n

Solving
3000 = 425n

Solving for variable 'n'.

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

Add '-425n' to each side of the equation.
3000 + -425n = 425n + -425n

Combine like terms: 425n + -425n = 0
3000 + -425n = 0

Add '-3000' to each side of the equation.
3000 + -3000 + -425n = 0 + -3000

Combine like terms: 3000 + -3000 = 0
0 + -425n = 0 + -3000
-425n = 0 + -3000

Combine like terms: 0 + -3000 = -3000
-425n = -3000

Divide each side by '-425'.
n = 7.058823529

Simplifying
n = 7.058823529