To solve the equation \( 5t - 26 = 18t \), follow these steps:

1. **Isolate the variable term on one side**:  
   Subtract \( 5t \) from both sides to get the terms involving \( t \) on one side of the equation.
   \[
   5t - 26 - 5t = 18t - 5t
   \]
   Simplifying this, we get:
   \[
   -26 = 13t
   \]

2. **Solve for \( t \)**:  
   Divide both sides by 13 to solve for \( t \).
   \[
   t = \frac{-26}{13}
   \]
   Simplifying this, we get:
   \[
   t = -2
   \]

So, the solution is \( t = -2 \).

Would you like more details, or do you have any questions?

Here are some related questions:

1. How would you solve \( 7t - 15 = 2t + 10 \)?
2. What happens when the equation involves fractions, like \( \frac{3t}{4} - 5 = t \)?
3. How do you solve for \( t \) if the equation is \( 12t + 8 = 5(2t + 3) \)?
4. What if you had an inequality instead of an equation, such as \( 5t - 26 \leq 18t \)?
5. How can you verify the solution to an equation?

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

Learn how to solve the equation 5t - 26 = 18t with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and solving equations. Suitable for students in Grades 7-9.

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