5n+4(-4-n)=-2(1+3n)

Simple and best practice solution for 5n+4(-4-n)=-2(1+3n) 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 5n+4(-4-n)=-2(1+3n) equation:


Simplifying
5n + 4(-4 + -1n) = -2(1 + 3n)
5n + (-4 * 4 + -1n * 4) = -2(1 + 3n)
5n + (-16 + -4n) = -2(1 + 3n)

Reorder the terms:
-16 + 5n + -4n = -2(1 + 3n)

Combine like terms: 5n + -4n = 1n
-16 + 1n = -2(1 + 3n)
-16 + 1n = (1 * -2 + 3n * -2)
-16 + 1n = (-2 + -6n)

Solving
-16 + 1n = -2 + -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.
-16 + 1n + 6n = -2 + -6n + 6n

Combine like terms: 1n + 6n = 7n
-16 + 7n = -2 + -6n + 6n

Combine like terms: -6n + 6n = 0
-16 + 7n = -2 + 0
-16 + 7n = -2

Add '16' to each side of the equation.
-16 + 16 + 7n = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 7n = -2 + 16
7n = -2 + 16

Combine like terms: -2 + 16 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2

See similar equations:

| 7x-3-1=10 | | a(b+5)+3(b+5)= | | 2x+4=5x+5-3x+6 | | x+8=92 | | B+b+2=2b | | -9+.75n=-13 | | 2(6x-4)-4(7x+8)=144 | | -(-3x+2)=-2(x-6) | | (x-5)(x-5)=(x-6)(x-3) | | +6= | | 2x+5*3=85 | | 3(3x+4)=24 | | 4x-2y=22 | | 1.75+y=.75 | | -5(c+2)=20-6c+10 | | 6(x-8)=-30(x-2) | | 2x^2+14=6x | | p(p+3)=-2 | | -y=2x-4 | | 6(x-2)=-30(x-8) | | 8r-7=25 | | 3.1x-7=2.8x+8 | | 15x+2+6x-11=180 | | 3(x-2)-(x+2)=2(x-2)+24 | | 4(3x+11)=5(x+6) | | 2.5*10-12= | | L[c(t)]=L[5t] | | .4166666667=-.5z | | d(z)=z^2-z+7 | | 0.3y=7.53 | | -3+4x=2x+7 | | -8(x-3)=-7(x-2) |

Equations solver categories