\[ -6=\frac{n}{2}-10 \] Solve each equation. Fill in the missing number. \( \square \) \} Check \[ -2=2+\frac{v}{4} \] Solve each equation. Fill in the missing number \{- \( \square \) \} Check \[ 144=-12(x+5) \] Solve each equation. Fill in the missing number. \{- \( \square \) \} Check

To solve the first equation: \(-6 = \frac{n}{2} - 10\) First, add 10 to both sides: \(-6 + 10 = \frac{n}{2}\) \[ 4 = \frac{n}{2} \] Now, multiply both sides by 2: \[ n = 8 \] So, the missing number is \(8\). --- Now, for the second equation: \(-2 = 2 + \frac{v}{4}\) Subtract 2 from both sides: \(-2 - 2 = \frac{v}{4}\) \[ -4 = \frac{v}{4} \] Multiply both sides by 4: \[ v = -16 \] So, the missing number is \(-16\). --- Lastly, for the third equation: \(144 = -12(x + 5)\) First, divide both sides by -12: \[ \frac{144}{-12} = x + 5 \] \[ -12 = x + 5 \] Now, subtract 5 from both sides: \(-12 - 5 = x\) \[ x = -17 \] So, the missing number is \(-17\).