6. $$ 2 d-9=-1 $$ 7. $$ 7 m+4=-10 $$ 8. $$ 3 n-6=-15 $$ 9. $$ 8 p+2=18 $$ 10. $$ 4 q-5=7 $$

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

---

### **6. $$ 2d - 9 = -1 $$**

**Step 1:** Add 9 to both sides to isolate the term with $$ d $$.

$$
2d - 9 + 9 = -1 + 9
$$
$$
2d = 8
$$

**Step 2:** Divide both sides by 2 to solve for $$ d $$.

$$
d = \frac{8}{2} = 4
$$

**Solution:** $$ d = 4 $$

---

### **7. $$ 7m + 4 = -10 $$**

**Step 1:** Subtract 4 from both sides to isolate the term with $$ m $$.

$$
7m + 4 - 4 = -10 - 4
$$
$$
7m = -14
$$

**Step 2:** Divide both sides by 7 to solve for $$ m $$.

$$
m = \frac{-14}{7} = -2
$$

**Solution:** $$ m = -2 $$

---

### **8. $$ 3n - 6 = -15 $$**

**Step 1:** Add 6 to both sides to isolate the term with $$ n $$.

$$
3n - 6 + 6 = -15 + 6
$$
$$
3n = -9
$$

**Step 2:** Divide both sides by 3 to solve for $$ n $$.

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

**Solution:** $$ n = -3 $$

---

### **9. $$ 8p + 2 = 18 $$**

**Step 1:** Subtract 2 from both sides to isolate the term with $$ p $$.

$$
8p + 2 - 2 = 18 - 2
$$
$$
8p = 16
$$

**Step 2:** Divide both sides by 8 to solve for $$ p $$.

$$
p = \frac{16}{8} = 2
$$

**Solution:** $$ p = 2 $$

---

### **10. $$ 4q - 5 = 7 $$**

**Step 1:** Add 5 to both sides to isolate the term with $$ q $$.

$$
4q - 5 + 5 = 7 + 5
$$
$$
4q = 12
$$

**Step 2:** Divide both sides by 4 to solve for $$ q $$.

$$
q = \frac{12}{4} = 3
$$

**Solution:** $$ q = 3 $$

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Feel free to reach out if you have any more equations you'd like to solve or if you need further clarification on these solutions!
Here are the solutions to the equations: 6. $$ d = 4 $$ 7. $$ m = -2 $$ 8. $$ n = -3 $$ 9. $$ p = 2 $$ 10. $$ q = 3 $$

6. \( 2 d-9=-1 \) 7. \( 7 m+4=-10 \) 8. \( 3 n-6=-15 \) 9. \( 8 p+2=18 \) 10. \( 4 q-5=7 \)

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