6(7n-1)=5n+31

Solution for 6(7n-1)=5n+31 equation:

Simplifying
6(7n + -1) = 5n + 31

Reorder the terms:
6(-1 + 7n) = 5n + 31
(-1 * 6 + 7n * 6) = 5n + 31
(-6 + 42n) = 5n + 31

Reorder the terms:
-6 + 42n = 31 + 5n

Solving
-6 + 42n = 31 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-6 + 42n + -5n = 31 + 5n + -5n

Combine like terms: 42n + -5n = 37n
-6 + 37n = 31 + 5n + -5n

Combine like terms: 5n + -5n = 0
-6 + 37n = 31 + 0
-6 + 37n = 31

Add '6' to each side of the equation.
-6 + 6 + 37n = 31 + 6

Combine like terms: -6 + 6 = 0
0 + 37n = 31 + 6
37n = 31 + 6

Combine like terms: 31 + 6 = 37
37n = 37

Divide each side by '37'.
n = 1

Simplifying
n = 1