6(n-1)=2n+1

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

Simplifying
6(n + -1) = 2n + 1

Reorder the terms:
6(-1 + n) = 2n + 1
(-1 * 6 + n * 6) = 2n + 1
(-6 + 6n) = 2n + 1

Reorder the terms:
-6 + 6n = 1 + 2n

Solving
-6 + 6n = 1 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-6 + 6n + -2n = 1 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-6 + 4n = 1 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 4n = 1 + 0
-6 + 4n = 1

Add '6' to each side of the equation.
-6 + 6 + 4n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 1 + 6
4n = 1 + 6

Combine like terms: 1 + 6 = 7
4n = 7

Divide each side by '4'.
n = 1.75

Simplifying
n = 1.75