Question

What value of n makes the equation 4(0.5n-3) = n - 0.25(12 - 8n) true? F 3 G-9 H 0 J-15

Answer 1

`4(0.5n-3)=n-0.25(12-8n)`

Solve n:

1. Use distributive property:

`a(b+c)=ab+ac`
`2n-12=n-3+2n`

2. Combine like terms:

`2n-12=3n-3`

3. Substract 3n in both sides of the equation:

`\begin{gathered} 2n-3n-12=3n-3n-3 \\ -n-12=-3 \end{gathered}`

4. Add 12 in both sides of the equation

`\begin{gathered} -n-12+12=-3+12 \\ -n=9 \end{gathered}`

5. Multiply both sides of the equation by (-1):

`\begin{gathered} (-1)(-n)=(-1)(9) \\ n=-9 \end{gathered}`Then, the valuye of n taht makes the equation true is -9