-3(3n-1)=n-37

Solution for -3(3n-1)=n-37 equation:

Simplifying
-3(3n + -1) = n + -37

Reorder the terms:
-3(-1 + 3n) = n + -37
(-1 * -3 + 3n * -3) = n + -37
(3 + -9n) = n + -37

Reorder the terms:
3 + -9n = -37 + n

Solving
3 + -9n = -37 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
3 + -9n + -1n = -37 + n + -1n

Combine like terms: -9n + -1n = -10n
3 + -10n = -37 + n + -1n

Combine like terms: n + -1n = 0
3 + -10n = -37 + 0
3 + -10n = -37

Add '-3' to each side of the equation.
3 + -3 + -10n = -37 + -3

Combine like terms: 3 + -3 = 0
0 + -10n = -37 + -3
-10n = -37 + -3

Combine like terms: -37 + -3 = -40
-10n = -40

Divide each side by '-10'.
n = 4

Simplifying
n = 4