To solve the equation \(-1.6r + 5 = -7.8\), follow these steps:

1. **Isolate the variable term**: Move the constant term (5) to the right side of the equation by subtracting 5 from both sides.

\[
-1.6r + 5 - 5 = -7.8 - 5
\]

\[
-1.6r = -12.8
\]

2. **Solve for \(r\)**: Divide both sides by \(-1.6\) to solve for \(r\).

\[
r = \frac{-12.8}{-1.6}
\]

\[
r = 8
\]

So, the solution is \(r = 8\).

Would you like more details on any of these steps or have any questions? Here are 5 related questions:

1. How do you solve equations with fractions?
2. What happens if the equation has variables on both sides?
3. How do you solve a quadratic equation?
4. Can you explain how to check if the solution is correct?
5. What are the steps for solving systems of equations?

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

Learn how to solve the linear equation -1.6r + 5 = -7.8 with a step-by-step breakdown. This problem highlights algebraic concepts such as isolating the variable and using the division property of equality. Suitable for students in Grades 6-8.

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