3m - 5m + 11 = 17
One solution, No solution, or infinite solutions?

Let's solve the equation:

\[
3m - 5m + 11 = 17
\]

1. Combine like terms on the left side:
   \[
   (3m - 5m) + 11 = 17
   \]
   This simplifies to:
   \[
   -2m + 11 = 17
   \]

2. Subtract 11 from both sides:
   \[
   -2m = 17 - 11
   \]
   \[
   -2m = 6
   \]

3. Divide both sides by -2:
   \[
   m = \frac{6}{-2}
   \]
   \[
   m = -3
   \]

There is **one solution**: \( m = -3 \).

Would you like further details or have any other questions?

Here are 5 related questions to explore:
1. How do you solve linear equations with variables on both sides?
2. What are the conditions for a system of equations to have no solution?
3. Can a linear equation ever have infinite solutions? If so, when?
4. How do you solve equations with fractions involved?
5. How do you check if your solution to a linear equation is correct?

**Tip:** Always combine like terms first to simplify the equation before solving.

3m - 5m + 11 = 17. One solution, No solution, or infinite solutions?

Learn how to solve the linear equation 3m - 5m + 11 = 17 step-by-step, simplifying terms and solving for the variable. This problem covers key algebraic concepts, including combining like terms and solving linear equations, and is suitable for students in Grades 6-8.

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