https://file.aiquickdraw.com/mathbot/file/1725986039786u1n2rgn2.jpg

The equation you provided is:

\[
\frac{m}{3} - 6 = -5
\]

Let's solve for \( m \) step by step.

### Step 1: Add 6 to both sides of the equation.
\[
\frac{m}{3} - 6 + 6 = -5 + 6
\]
\[
\frac{m}{3} = 1
\]

### Step 2: Multiply both sides of the equation by 3 to isolate \( m \).
\[
m = 1 \times 3
\]
\[
m = 3
\]

Thus, the value of \( m \) is 3.

Let me know if you want further details or have any questions!

Here are 5 related questions:
1. How would you solve a similar equation with a fraction like \( \frac{m}{4} - 7 = -3 \)?
2. What would happen if the equation involved a negative fraction, like \( \frac{-m}{2} - 4 = 0 \)?
3. How do you solve equations that involve fractions on both sides, such as \( \frac{m}{2} - 1 = \frac{m}{4} + 2 \)?
4. What are some techniques to solve equations with variables in the denominator, like \( \frac{6}{m} + 3 = 5 \)?
5. How does multiplying or dividing both sides of an equation help in solving for the variable?

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

Learn how to solve the linear equation (m/3) - 6 = -5 with a step-by-step solution. This problem covers key algebraic concepts such as basic linear equations and isolation of variables, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation