Solve the equation and check the result. \( r=7=\frac{13 r+68}{7} \) SUBMIT ANSWER

First, let's solve the equation \( 7 = \frac{13r + 68}{7} \). To eliminate the fraction, we can multiply both sides by 7, resulting in: \( 7 \times 7 = 13r + 68 \) \( 49 = 13r + 68 \). Next, we subtract 68 from both sides: \( 49 - 68 = 13r \) \( -19 = 13r \). Now, we divide both sides by 13 to isolate \( r \): \( r = \frac{-19}{13} \). To check the result, we substitute \( r = \frac{-19}{13} \) back into the original equation: Calculate \( 13r + 68 \): \( 13 \times \frac{-19}{13} + 68 = -19 + 68 = 49 \). Now, check the right side: \( \frac{49}{7} = 7 \). Since both sides equal \( 7 \), our solution is confirmed: \( r = \frac{-19}{13} \). So, the answer is \( r = \frac{-19}{13} \).