\( -15=-4 m+5 \) Solve each equation. Fill in the missing number. \( 10-6 v=-104 \) Solve each equation. Fill in the missing number. \( 8 n+7=31 \) Solve each equation. Fill in the missing number. check

### Equation 1: \( -15=-4m+5 \) 1. Subtract \(5\) from both sides to isolate the term with \(m\): \[ -15-5=-4m \quad \Rightarrow \quad -20=-4m \] 2. Divide both sides by \(-4\) to solve for \(m\): \[ m=\frac{-20}{-4}=5 \] ### Equation 2: \( 10-6v=-104 \) 1. Subtract \(10\) from both sides: \[ 10-6v-10=-104-10 \quad \Rightarrow \quad -6v=-114 \] 2. Divide both sides by \(-6\) to solve for \(v\): \[ v=\frac{-114}{-6}=19 \] ### Equation 3: \( 8n+7=31 \) 1. Subtract \(7\) from both sides: \[ 8n+7-7=31-7 \quad \Rightarrow \quad 8n=24 \] 2. Divide both sides by \(8\) to solve for \(n\): \[ n=\frac{24}{8}=3 \] ### Check - For Equation 1: Substitute \(m=5\) back into the original equation: \[ -4(5)+5=-20+5=-15 \] - For Equation 2: Substitute \(v=19\) back into the original equation: \[ 10-6(19)=10-114=-104 \] - For Equation 3: Substitute \(n=3\) back into the original equation: \[ 8(3)+7=24+7=31 \] All solutions satisfy their respective equations.