We can solve the equation \(-7t = -5t + 6\) step by step.

### Step 1: Move all terms involving \(t\) to one side.
Add \(5t\) to both sides to get rid of the \(-5t\) on the right side:
\[
-7t + 5t = 6
\]
This simplifies to:
\[
-2t = 6
\]

### Step 2: Solve for \(t\).
Now, divide both sides by \(-2\) to isolate \(t\):
\[
t = \frac{6}{-2} = -3
\]

### Final answer:
\[
t = -3
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. What if the equation was \( -7t = -5t + 8 \)?
2. How would you solve \( -7t + 3 = -5t \)?
3. Can you explain how to solve an equation with fractions, like \( \frac{7}{t} = \frac{5}{t} + 6 \)?
4. How would you solve for \( t \) in \( -7t^2 = -5t + 6 \)?
5. What if the equation had absolute values, like \( |-7t| = -5t + 6 \)?

**Tip:** Always try to simplify the equation by isolating the variable on one side of the equation first!

Learn how to solve the linear equation -7t = -5t + 6 with a step-by-step solution. This problem covers key algebraic concepts like moving terms to one side and isolating the variable. Suitable for students in Grades 6-8.

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