Let's solve the given equation:

\[
-a = 0.1 - 0.6a
\]

### Step 1: Move all terms involving "a" to one side
First, let's add \(0.6a\) to both sides of the equation to move all the terms with "a" on the same side:

\[
-a + 0.6a = 0.1
\]

Simplify the left-hand side:

\[
-1a + 0.6a = -0.4a
\]

So we get:

\[
-0.4a = 0.1
\]

### Step 2: Solve for "a"
To solve for \(a\), divide both sides by \(-0.4\):

\[
a = \frac{0.1}{-0.4}
\]

Perform the division:

\[
a = -0.25
\]

### Final Answer
\[
a = -0.25
\]

Would you like more details on any of the steps or have further questions?

Here are 5 related questions to expand your understanding:

1. How would the solution change if the constant term was different, for example \(0.2\) instead of \(0.1\)?
2. What if the coefficient of \(a\) in the original equation was negative, such as \(-0.6a\)?
3. How can we check if our solution is correct by substituting it back into the original equation?
4. What happens to the value of \(a\) if we multiply both sides of the original equation by \(-1\) before solving?
5. How can this type of linear equation be represented graphically?

**Tip:** Always double-check your solution by substituting it back into the original equation. It helps confirm your answer is correct.

Learn how to solve the linear equation a = 0.1 - 0.6a with a detailed, step-by-step solution. This problem covers key algebraic concepts like rearranging equations and solving for variables, making it ideal for students in Grades 6-8.

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