6(n-1)=(n+1)

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

Simplifying
6(n + -1) = (n + 1)

Reorder the terms:
6(-1 + n) = (n + 1)
(-1 * 6 + n * 6) = (n + 1)
(-6 + 6n) = (n + 1)

Reorder the terms:
-6 + 6n = (1 + n)

Remove parenthesis around (1 + n)
-6 + 6n = 1 + n

Solving
-6 + 6n = 1 + 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.
-6 + 6n + -1n = 1 + n + -1n

Combine like terms: 6n + -1n = 5n
-6 + 5n = 1 + n + -1n

Combine like terms: n + -1n = 0
-6 + 5n = 1 + 0
-6 + 5n = 1

Add '6' to each side of the equation.
-6 + 6 + 5n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = 1 + 6
5n = 1 + 6

Combine like terms: 1 + 6 = 7
5n = 7

Divide each side by '5'.
n = 1.4

Simplifying
n = 1.4