6. $$ 3(2 d-5)=-3 $$ 7. $$ 6 m+1-4 m=-7 $$ 8. $$ -4(n-2)=12 $$ 9. $$ 2(p+5)+3 p=25 $$ 10. $$ 7 q-3+q=2 $$

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Sure, let's solve each of the equations step by step.

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### **Problem 6**
$$ 3(2d - 5) = -3 $$

**Solution:**
1. **Distribute the 3:**
   $$
   3 \times 2d - 3 \times 5 = 6d - 15
   $$
   So, the equation becomes:
   $$
   6d - 15 = -3
   $$
2. **Add 15 to both sides:**
   $$
   6d - 15 + 15 = -3 + 15 \
   6d = 12
   $$
3. **Divide both sides by 6:**
   $$
   d = \frac{12}{6} \
   d = 2
   $$

**Answer:** $$ d = 2 $$

---

### **Problem 7**
$$ 6m + 1 - 4m = -7 $$

**Solution:**
1. **Combine like terms (6m and -4m):**
   $$
   (6m - 4m) + 1 = 2m + 1
   $$
   So, the equation becomes:
   $$
   2m + 1 = -7
   $$
2. **Subtract 1 from both sides:**
   $$
   2m = -7 - 1 \
   2m = -8
   $$
3. **Divide both sides by 2:**
   $$
   m = \frac{-8}{2} \
   m = -4
   $$

**Answer:** $$ m = -4 $$

---

### **Problem 8**
$$ -4(n - 2) = 12 $$

**Solution:**
1. **Distribute the -4:**
   $$
   -4n + 8 = 12
   $$
2. **Subtract 8 from both sides:**
   $$
   -4n = 12 - 8 \
   -4n = 4
   $$
3. **Divide both sides by -4:**
   $$
   n = \frac{4}{-4} \
   n = -1
   $$

**Answer:** $$ n = -1 $$

---

### **Problem 9**
$$ 2(p + 5) + 3p = 25 $$

**Solution:**
1. **Distribute the 2:**
   $$
   2p + 10 + 3p = 25
   $$
2. **Combine like terms (2p and 3p):**
   $$
   5p + 10 = 25
   $$
3. **Subtract 10 from both sides:**
   $$
   5p = 25 - 10 \
   5p = 15
   $$
4. **Divide both sides by 5:**
   $$
   p = \frac{15}{5} \
   p = 3
   $$

**Answer:** $$ p = 3 $$

---

### **Problem 10**
$$ 7q - 3 + q = 2 $$

**Solution:**
1. **Combine like terms (7q and q):**
   $$
   8q - 3 = 2
   $$
2. **Add 3 to both sides:**
   $$
   8q = 2 + 3 \
   8q = 5
   $$
3. **Divide both sides by 8:**
   $$
   q = \frac{5}{8}
   $$

**Answer:** $$ q = \frac{5}{8} $$

---

Feel free to reach out if you have any more questions!
**Solutions:** 1. $$ d = 2 $$ 2. $$ m = -4 $$ 3. $$ n = -1 $$ 4. $$ p = 3 $$ 5. $$ q = \frac{5}{8} $$

6. \( 3(2 d-5)=-3 \) 7. \( 6 m+1-4 m=-7 \) 8. \( -4(n-2)=12 \) 9. \( 2(p+5)+3 p=25 \) 10. \( 7 q-3+q=2 \)

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