Let's solve each of these linear equations step-by-step.

Problem g: $2x - 7 = -4$

1. Add 7 to both sides:
   $2x = 3$
2. Divide both sides by 2:
   $x = \frac{3}{2}$ or $x = 1.5$

Problem h: $2x - 11 = 23$

1. Add 11 to both sides:
   $2x = 34$
2. Divide both sides by 2:
   $x = 17$

Problem i: $7 + 8x = -9$

1. Subtract 7 from both sides:
   $8x = -16$
2. Divide both sides by 8:
   $x = -2$

Problem j: $6 + 3x = 0$

1. Subtract 6 from both sides:
   $3x = -6$
2. Divide both sides by 3:
   $x = -2$

Problem k: $8 + 13x = 34$

1. Subtract 8 from both sides:
   $13x = 26$
2. Divide both sides by 13:
   $x = 2$

Summary of Solutions

• g: $x = 1.5$
• h: $x = 17$
• i: $x = -2$
• j: $x = -2$
• k: $x = 2$

Would you like further details on any of these solutions?

Here are some related questions:

1. How can we verify each solution?
2. What is the general approach for solving linear equations?
3. Why is it important to isolate the variable in equations?
4. How does balancing an equation work in these problems?
5. Can these equations be solved using graphing?

Tip: Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.