Answer:
[tex]8(5g+5-2)=8\times 5g+8\times 5-8\times 2=40g-24[/tex]
Step-by-step explanation:
The Distributive Properties establishes that [tex]a\cdot (c+d)=a\cdot c+a\cdot d[/tex]. This property connect the operations of sum a multiplication. If we have more term as [tex]a\cdot (b+c+d)[/tex] the same property holds. That is to say,
[tex]a\cdot (b+c+d)=a\cdot b+ a\cdot c +a\cdot d[/tex]
The dot means multiplication. In your case you have a expression of this last form. So applying this distributive property we have:
[tex]8(5g+5-2)=8\times 5g+8\times 5-8\times 2=40g+40-16=40g-24[/tex]
