$$ 0=4+\frac{n}{5} $$ $$ -4=\frac{r}{20}-5 $$ Solve each equation. Fill in the missing number.

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UpStudy AI · Accepted Answer

Solve the equation by following steps:
- step0: Solve for $$r$$:
  $$-4=\frac{r}{20}-5$$
- step1: Swap the sides:
  $$\frac{r}{20}-5=-4$$
- step2: Move the constant to the right side:
  $$\frac{r}{20}=-4+5$$
- step3: Add the numbers:
  $$\frac{r}{20}=1$$
- step4: Cross multiply:
  $$r=20$$
Solve the equation $$ 0=4+\frac{n}{5} $$.
Solve the equation by following steps:
- step0: Solve for $$n$$:
  $$0=4+\frac{n}{5}$$
- step1: Swap the sides:
  $$4+\frac{n}{5}=0$$
- step2: Move the constant to the right side:
  $$\frac{n}{5}=0-4$$
- step3: Remove 0:
  $$\frac{n}{5}=-4$$
- step4: Cross multiply:
  $$n=5\left(-4\right)$$
- step5: Simplify the equation:
  $$n=-20$$
Let's solve each equation step by step:

1. **First Equation:**
   $$
   0 = 4 + \frac{n}{5}
   $$
   To isolate $$ n $$, we can subtract 4 from both sides:
   $$
   0 - 4 = \frac{n}{5} \implies -4 = \frac{n}{5}
   $$
   Next, we multiply both sides by 5 to solve for $$ n $$:
   $$
   n = -4 \times 5 = -20
   $$

2. **Second Equation:**
   $$
   -4 = \frac{r}{20} - 5
   $$
   To isolate $$ r $$, we first add 5 to both sides:
   $$
   -4 + 5 = \frac{r}{20} \implies 1 = \frac{r}{20}
   $$
   Now, we multiply both sides by 20 to solve for $$ r $$:
   $$
   r = 1 \times 20 = 20
   $$

Thus, the solutions are:
- $$ n = -20 $$
- $$ r = 20 $$
$$ n = -20 $$ and $$ r = 20 $$.

Solve each equation. Fill in the missing number.

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