\[ -9 x-13=-103 \] Solve each equation. Fill in the missing number \( \square \) \} Check \[ \frac{n+5}{-16}=-1 \] Solve each equation. Fill in the missing number. \( \square \) \} Check \[ -10=-10+7 m \] Solve each equation. Fill in the missing number. ions ( 30 min )

To solve the first equation, \(-9x - 13 = -103\), we can start by adding 13 to both sides: \(-9x = -103 + 13\) \(-9x = -90\) Now, divide by -9: \(x = 10\) So, the missing number is \(10\). For the check, substituting back into the equation gives: \(-9(10) - 13 = -90 - 13 = -103\). It checks out! Now, for \(\frac{n + 5}{-16} = -1\), we multiply both sides by -16: \(n + 5 = 16\) Subtracting 5 from both sides gives: \(n = 11\) The missing number is \(11\). Check: \(\frac{11 + 5}{-16} = \frac{16}{-16} = -1\). It checks out! Next, in the equation \(-10 = -10 + 7m\), we first add \(10\) to both sides: \(0 = 7m\) Dividing by 7 gives: \(m = 0\) The missing number is \(0\). Check: Substituting back gives: \(-10 = -10 + 7(0) = -10\), which checks out!