3(3n-2)=(4n+6)+6

Simple and best practice solution for 3(3n-2)=(4n+6)+6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(3n-2)=(4n+6)+6 equation:


Simplifying
3(3n + -2) = (4n + 6) + 6

Reorder the terms:
3(-2 + 3n) = (4n + 6) + 6
(-2 * 3 + 3n * 3) = (4n + 6) + 6
(-6 + 9n) = (4n + 6) + 6

Reorder the terms:
-6 + 9n = (6 + 4n) + 6

Remove parenthesis around (6 + 4n)
-6 + 9n = 6 + 4n + 6

Reorder the terms:
-6 + 9n = 6 + 6 + 4n

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

Solving
-6 + 9n = 12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-6 + 9n + -4n = 12 + 4n + -4n

Combine like terms: 9n + -4n = 5n
-6 + 5n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
-6 + 5n = 12 + 0
-6 + 5n = 12

Add '6' to each side of the equation.
-6 + 6 + 5n = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = 12 + 6
5n = 12 + 6

Combine like terms: 12 + 6 = 18
5n = 18

Divide each side by '5'.
n = 3.6

Simplifying
n = 3.6

See similar equations:

| 82=7(n+6)+5 | | 8m^2-2m-5=0 | | -102=-6(6x+5) | | 7y+13+-y+4=5 | | 12-r=21 | | X^4-6x^2+25=0 | | -3(5x+3)=-15x-5 | | 8-q=-31 | | -23=-6x+-8+-9x | | -63=-3+6(2+3n) | | 14=2m+1+3 | | 14-v=10 | | x^2+8t+9=0 | | 5(2q-3)=5 | | 10times1/3 | | 5-u=19 | | 3t+4x=6-2x | | 5n+5(3+2n)=75 | | 9-s=7 | | 3.5+0.25p=20 | | 5x-1-2=3x-7 | | -8v+3v=12.5 | | 8-t=-12 | | 89=111-m | | 4=-4(7-u) | | 66=-4x-2 | | x+2y=-28 | | 1/2is5-/12 | | 5i(7i)=0 | | K+k=16.3 | | https://static.k12.com/bank_packages/files/media/mathml_18d7dccaf6fc5a75358663e68a528639d7f671fe_1.gif | | 41=-4x+5 |

Equations solver categories