37+2n=6(8n-1)-3n

Solution for 37+2n=6(8n-1)-3n equation:

Simplifying
37 + 2n = 6(8n + -1) + -3n

Reorder the terms:
37 + 2n = 6(-1 + 8n) + -3n
37 + 2n = (-1 * 6 + 8n * 6) + -3n
37 + 2n = (-6 + 48n) + -3n

Combine like terms: 48n + -3n = 45n
37 + 2n = -6 + 45n

Solving
37 + 2n = -6 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
37 + 2n + -45n = -6 + 45n + -45n

Combine like terms: 2n + -45n = -43n
37 + -43n = -6 + 45n + -45n

Combine like terms: 45n + -45n = 0
37 + -43n = -6 + 0
37 + -43n = -6

Add '-37' to each side of the equation.
37 + -37 + -43n = -6 + -37

Combine like terms: 37 + -37 = 0
0 + -43n = -6 + -37
-43n = -6 + -37

Combine like terms: -6 + -37 = -43
-43n = -43

Divide each side by '-43'.
n = 1

Simplifying
n = 1