Hello there!
First, to answer this question, we must interpret correctly what the sentence wants to tell us in mathematical language.
Let [tex]n[/tex] be the number we want to find its value. It is said that the number is multiplied by [tex]6[/tex] and that product is added to [tex]2[/tex], so we have the left hand side of the equation given by:
[tex]6\cdot n +2[/tex]
This expression must be equal to the product between [tex]2[/tex] and [tex]25[/tex], thus we have:
[tex]6n+2=50[/tex]
Subtract [tex]2[/tex] on both sides of the equation:
[tex]6n+2-2=50-2\\\\\\ 6n=48[/tex]
Divide both sides by a factor of [tex]6[/tex]
[tex]\dfrac{6n}{6}=\dfrac{48}{6}\\\\\\ n=8~~\checkmark[/tex]
This is the number we were asked for.
