What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?

-(2n+4)+6=-9+4(2n+1)  perform indicated multiplications...

-2n-4+6=-9+8n+4  combine like terms on both sides...

-2n+2=8n-5  subtract 2 from both sides

-2n=8n-7  subtract 8n from both sides

-10n=-7  divide both sides by -10

n=7/10

n=0.7

When solving equations in algebra, you must follow these steps:

1. Simplifying any parentheses.

If there is any parentheses, simplify them by using the distributive property.

2. Combine like terms.

If there is any like terms to be combined on both sides of the equation, then do it.

3. Use the addition principle of equality.

This principle states that if you have A, B and C then the equations A = B and
A + C = B + C are equivalent equations.

4. Use the multiplication or division principle of equality.

This one is similar to the one above. If you multiply or divide both sides of the equation by the same thing, that resulting equation is equivalent to the original equation.

5. Do the same on both sides.

If you do one operation on one side of the equation, you must do the same on the opposite side.

With the equation above, there are parentheses to be simplified.

The negative sign in front of the expression (2n + 4) can be seen as a -1.

-(2n + 4) + 6 = -9 + 4(2n + 1)
-2n - 4 + 6 = -9 + 8n + 4

Combine like terms on both sides of the equation.

-2n - 4 + 6 = -9 + 8n + 4
-2n + 2 = -5 + 8n

Use the addition principle of equality.

-2n + 2 = -5 + 8n
-2n = -7 + 8n
-10n = -7

Now use the multiplication of division principle of equality.

n = 7/10

So, n is equal to 7/10.