Let's solve the equation:

\[
2w - 15w - 18 = -83
\]

### Step 1: Combine like terms
On the left side of the equation, combine the terms involving \(w\):

\[
(2w - 15w) - 18 = -83
\]

\[
-13w - 18 = -83
\]

### Step 2: Isolate the variable
Now, add 18 to both sides to isolate the term with \(w\):

\[
-13w = -83 + 18
\]

\[
-13w = -65
\]

### Step 3: Solve for \(w\)
Now, divide both sides by \(-13\):

\[
w = \frac{-65}{-13}
\]

\[
w = 5
\]

So, the solution is \(w = 5\).

Would you like further details or clarifications on this? Here are some related questions:

1. How do you solve equations with multiple terms?
2. What happens if the variable is on both sides of the equation?
3. How do you combine like terms effectively?
4. What is the next step if the equation involves fractions?
5. How do you solve quadratic equations?

**Tip:** Always combine like terms first when simplifying equations.

Learn how to solve the linear equation 2w - 15w - 18 = -83 through step-by-step explanations. This problem involves key algebraic concepts such as combining like terms and isolating variables, making it 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