16.-Write an algebraic model for the statement. the difference of a number and -8 is 7
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Let x be the number that we are interested in, then the statement written in algebraic form is:
[tex]x-(-8)=7.[/tex]Simplifying the above equation we get:
[tex]x+8=7.[/tex]Subtracting 8 from the above equation we get:
[tex]\begin{gathered} x+8-8=7-8, \\ x=-1. \end{gathered}[/tex]Therefore, the number we are looking for is -1.
Answer:
[tex]x-(-8)=7.[/tex]And x=-1.