Respuesta :

Solution:

Simplify the equation and solve for r.

  • r/16 + 6 = 7
  • => r/16 = 7 - 6
  • => r/16 = 1
  • => r = 16

The value of r is 16.

Check:

  • r/16 + 6 = 7
  • => 16/16 + 6 = 7
  • => 1 + 6 = 7
  • => 7 = 7 (Proved correct)

Answer:

[tex]r = 16[/tex]

Step-by-step explanation:

[tex]\frac{r}{16} + 6 = 7[/tex]

[tex]\frac{r}{16} +\frac{96}{16} = 7[/tex]           [ make the denominators same ]

[tex]\frac{r + 96}{16} = 7[/tex]

[tex]r+96 = 7 * 16[/tex]      [ changing sides, changes multiplication to division ]

[tex]r + 96 = 112[/tex]  

[tex]r = 112 - 96\\[/tex]         [ changing sides, changes addition to subtraction ]

[tex]r = 16[/tex]

we can check if the value is correct or not:

If r = 16:

[tex]\frac{16}{16} + 6[/tex]

[tex]1 +6[/tex]

[tex]7[/tex]

[ Therefore r being 16, confirmed ]