2n+4=8-6(n-4)

Simplify each term.

Apply the distributive property.

2n+4=8-6n-6⋅-4

Multiply -6 by -4.

2n+4=8-6n+24

2n+4=8-6n+24

Add 8 and 24.

2n+4=-6n+32

2n+4=-6n+32

Add 6n to both sides of the equation.

2n+4+6n=32

Add 2n and 6n.

8n+4=32

8n+4=32

Subtract 4 from both sides of the equation.

8n=32-4

Subtract 4 from 32.

8n=28

8n=28

Divide each term in 8n=28 by 8.

8n8=288

Cancel the common factor of 8.

Cancel the common factor.

8n8=288

Divide n by 1.

n=288

n=288

Cancel the common factor of 28 and 8.

Factor 4 out of 28.

n=4(7)8

Cancel the common factors.

Factor 4 out of 8.

n=4⋅74⋅2

Cancel the common factor.

n=4⋅74⋅2

Rewrite the expression.

n=72

n=72

n=72

n=72

The result can be shown in multiple forms.

Exact Form:

n=72

Decimal Form:

n=3.5

Mixed Number Form:

n=312

Solve for n 2n+4=8-6(n-4)