Answer :
Answer with Step-by-step explanation:
We are given that
g=3
[tex]15g-2(2g+6)[/tex] and [tex]11g-12[/tex]
We have to prove that two expressions are equivalent by evaluating the expressions given
[tex]15g-2(2g+6)[/tex]
Substitute the value of g in the given expression
[tex]=15(3)-2(2(3)+6)[/tex]
[tex]=45-2(6+6)[/tex]
[tex]=45-2(12)[/tex]
[tex]=45-24[/tex]
[tex]=21[/tex]
[tex]11g-12[/tex]
Substitute the value of g in the given expression
[tex]=11(3)-12[/tex]
[tex]=33-12[/tex]
[tex]=21[/tex]
Hence,
15g-2(2g+6) = 11g-12 when g=3