1) Solve the equation. $$ 5(r-1)=2(r-4)-6 $$

Question

UpStudy AI · Accepted Answer

To solve the equation $$ 5(r - 1) = 2(r - 4) - 6 $$, follow these steps:

1. **Distribute the constants on both sides:**

$$
   5r - 5 = 2r - 8 - 6
   $$

2. **Combine like terms on the right side:**

$$
   5r - 5 = 2r - 14
   $$

3. **Subtract $$2r$$ from both sides to get all $$r$$ terms on one side:**

$$
   5r - 2r - 5 = -14
   $$
   
   $$
   3r - 5 = -14
   $$

4. **Add 5 to both sides to isolate the term with $$r$$:**

$$
   3r = -14 + 5
   $$
   
   $$
   3r = -9
   $$

5. **Divide both sides by 3 to solve for $$r$$:**

$$
   r = \frac{-9}{3}
   $$
   
   $$
   r = -3
   $$

**Solution:** $$ r = -3 $$
$$ r = -3 $$

1) Solve the equation. \( 5(r-1)=2(r-4)-6 \)