To solve for \( m \) in the equation:

\[
11m + 4m + 2m = -17
\]

1. Combine like terms on the left side:

\[
(11m + 4m + 2m) = 17m
\]

Now the equation becomes:

\[
17m = -17
\]

2. Solve for \( m \) by dividing both sides by 17:

\[
m = \frac{-17}{17}
\]

\[
m = -1
\]

So, \( m = -1 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens if you change the constant on the right side of the equation?
2. How would you solve if \( 11m + 4m + 2m = 0 \)?
3. Can you solve similar equations with fractional values for \( m \)?
4. How would the steps change if there were additional constants (e.g., \( 11m + 4m + 2m + 5 = -17 \))?
5. What if you had an inequality instead of an equation, such as \( 11m + 4m + 2m > -17 \)?

**Tip:** Always simplify equations by combining like terms first to make solving easier.

Learn how to solve the linear equation 11m + 4m + 2m = -17 by combining like terms and dividing both sides. This step-by-step solution walks through the algebraic process of solving for m, suitable for students in Grades 6-8.

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