$$ -15=-4 m+5 $$ 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

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UpStudy AI · Accepted Answer

### 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.
$$ m=5 $$, $$ v=19 $$, $$ n=3 $$.

\( -15=-4 m+5 \) 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

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