(2n - 9) - 5(-2.4n + 4) use distributive property
= 2n - 9 + (-5)(-2.4n) + (-5)(4) = 2n - 9 + 12n - 20 combine like terms
= (2n + 12n) + (-9 - 20) = 14n - 29
Hello!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
[tex](2n-9)-5(-2.4n+4)[/tex]
First, remove parenthesis.
[tex]2n-9-5(-2.4n+4)\\[/tex]
Secondly, expand.
[tex]-5(-2.4n+4):12n-20[/tex]
Third, apply the distributive law.
[tex]a=-5, b=-2.4n, c=4[/tex]
[tex]=-5(-2.4n)+(-5)*4[/tex]
Then, apply minus-plus rules.
[tex]5*2.4n-5*4[/tex]
Simplify.
[tex]5*2.4n-5*4:12n-20[/tex]
Multiply by the numbers.
[tex]5*2.4=12[/tex]
[tex]12n-5*4[/tex]
Again, multiply by the numbers.
[tex]5*4=20[/tex]
[tex]12n-20[/tex]
[tex]=2n-9+12n-20[/tex]
Simplify.
[tex]2n-9+12n-20:14n-29[/tex]
Group like terms.
↓↓↓↓↓↓↓↓↓↓↓
[tex]=2n+12n-9-20[/tex]
Add similar elements.
[tex]2n+12n=14n[/tex]
[tex]=14n-9-20[/tex]
Subtract by the numbers.
[tex]-9-20=-29[/tex]
[tex]=14n-29[/tex]
Answer⇒⇒⇒[tex]=14n-29[/tex]
Hope this helps!
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-Charlie
