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

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

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

Reorder the terms:
3(3 + n) = 3(2n + -1)
(3 * 3 + n * 3) = 3(2n + -1)
(9 + 3n) = 3(2n + -1)

Reorder the terms:
9 + 3n = 3(-1 + 2n)
9 + 3n = (-1 * 3 + 2n * 3)
9 + 3n = (-3 + 6n)

Solving
9 + 3n = -3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
9 + 3n + -6n = -3 + 6n + -6n

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

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

Add '-9' to each side of the equation.
9 + -9 + -3n = -3 + -9

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

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

Divide each side by '-3'.
n = 4

Simplifying
n = 4