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

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

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

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

Combine like terms: 6 + -3 = 3
3 + -1n = 3(n + -2)

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

Solving
3 + -1n = -6 + 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 + -1n + -3n = -6 + 3n + -3n

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

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

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

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

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

Divide each side by '-4'.
n = 2.25

Simplifying
n = 2.25