We need to solve the equation \(-20 = -5(m - 84)\) for \(m\).

### Step 1: Distribute the \(-5\) on the right-hand side
\[
-20 = -5(m) + (-5)(-84)
\]
\[
-20 = -5m + 420
\]

### Step 2: Subtract 420 from both sides
\[
-20 - 420 = -5m
\]
\[
-440 = -5m
\]

### Step 3: Divide both sides by \(-5\) to solve for \(m\)
\[
m = \frac{-440}{-5}
\]
\[
m = 88
\]

Thus, \(m = 88\).

Would you like more details or explanations on any step?

Here are 5 related questions:
1. How do you solve linear equations with distribution?
2. What happens if both sides of the equation have variables?
3. Can you solve for \(m\) if the equation is \(20 = 5(m - 84)\)?
4. What is the importance of inverse operations in solving equations?
5. How do you check if a solution to an equation is correct?

**Tip:** Always double-check your solution by substituting it back into the original equation.

Learn how to solve the linear equation –20 = –5(m − 84) step-by-step. This problem covers algebraic concepts such as distribution, solving for variables, and using inverse operations. 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