12-3(2n+3)=-3+3(n+1)

Solution for 12-3(2n+3)=-3+3(n+1) equation:

Simplifying
12 + -3(2n + 3) = -3 + 3(n + 1)

Reorder the terms:
12 + -3(3 + 2n) = -3 + 3(n + 1)
12 + (3 * -3 + 2n * -3) = -3 + 3(n + 1)
12 + (-9 + -6n) = -3 + 3(n + 1)

Combine like terms: 12 + -9 = 3
3 + -6n = -3 + 3(n + 1)

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

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

Solving
3 + -6n = 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.
3 + -6n + -3n = 3n + -3n

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

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

Add '-3' to each side of the equation.
3 + -3 + -9n = 0 + -3

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

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

Divide each side by '-9'.
n = 0.3333333333

Simplifying
n = 0.3333333333