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

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

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

Reorder the terms:
6(-1 + 2n) = (3n + 3) + 1
(-1 * 6 + 2n * 6) = (3n + 3) + 1
(-6 + 12n) = (3n + 3) + 1

Reorder the terms:
-6 + 12n = (3 + 3n) + 1

Remove parenthesis around (3 + 3n)
-6 + 12n = 3 + 3n + 1

Reorder the terms:
-6 + 12n = 3 + 1 + 3n

Combine like terms: 3 + 1 = 4
-6 + 12n = 4 + 3n

Solving
-6 + 12n = 4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 12n + -3n = 4 + 3n + -3n

Combine like terms: 12n + -3n = 9n
-6 + 9n = 4 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 9n = 4 + 0
-6 + 9n = 4

Add '6' to each side of the equation.
-6 + 6 + 9n = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 9n = 4 + 6
9n = 4 + 6

Combine like terms: 4 + 6 = 10
9n = 10

Divide each side by '9'.
n = 1.111111111

Simplifying
n = 1.111111111