2(n-9)=6+n-3(1+n)

Solution for 2(n-9)=6+n-3(1+n) equation:

Simplifying
2(n + -9) = 6 + n + -3(1 + n)

Reorder the terms:
2(-9 + n) = 6 + n + -3(1 + n)
(-9 * 2 + n * 2) = 6 + n + -3(1 + n)
(-18 + 2n) = 6 + n + -3(1 + n)
-18 + 2n = 6 + n + (1 * -3 + n * -3)
-18 + 2n = 6 + n + (-3 + -3n)

Reorder the terms:
-18 + 2n = 6 + -3 + n + -3n

Combine like terms: 6 + -3 = 3
-18 + 2n = 3 + n + -3n

Combine like terms: n + -3n = -2n
-18 + 2n = 3 + -2n

Solving
-18 + 2n = 3 + -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.
-18 + 2n + 2n = 3 + -2n + 2n

Combine like terms: 2n + 2n = 4n
-18 + 4n = 3 + -2n + 2n

Combine like terms: -2n + 2n = 0
-18 + 4n = 3 + 0
-18 + 4n = 3

Add '18' to each side of the equation.
-18 + 18 + 4n = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 4n = 3 + 18
4n = 3 + 18

Combine like terms: 3 + 18 = 21
4n = 21

Divide each side by '4'.
n = 5.25

Simplifying
n = 5.25