Answer :
Given:
The expression is
[tex](1-2g+4h)\cdot 5[/tex]
To find:
The equivalent expression.
Solution:
Distributive property of multiplication over addition is
[tex]a(b+c)=ab+ac[/tex]
Where, a, b and c are real numbers.
We have,
[tex](1-2g+4h)\cdot 5[/tex]
Using distributive property, we get
[tex]=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5[/tex]
[tex]=5-10g+20h[/tex]
Therefore, the expression [tex]5-10g+20h[/tex] is equivalent to the given expression.