https://file.aiquickdraw.com/mathbot/file/17277093096978ayj41ln.jpg

To solve the equation \(2(j + 1) = 6\) for \(j\), follow these steps:

1. **Distribute the 2**: Multiply 2 by each term inside the parentheses.
   \[
   2 \cdot j + 2 \cdot 1 = 6
   \]
   This simplifies to:
   \[
   2j + 2 = 6
   \]

2. **Isolate the variable term**: Subtract 2 from both sides of the equation to isolate the term with the variable \(j\).
   \[
   2j + 2 - 2 = 6 - 2
   \]
   Simplifies to:
   \[
   2j = 4
   \]

3. **Solve for \(j\)**: Divide both sides by 2 to solve for \(j\).
   \[
   \frac{2j}{2} = \frac{4}{2}
   \]
   Simplifies to:
   \[
   j = 2
   \]

Therefore, the solution to the equation \(2(j + 1) = 6\) is \(j = 2\).

Would you like any additional details or have any questions about this solution?

Here are some related questions for further practice:

1. Solve for \(x\): \(3(x + 2) = 9\)
2. Solve for \(y\): \(5(y - 1) = 15\)
3. Solve for \(k\): \(4(k + 3) = 20\)
4. Solve for \(m\): \(6(m - 4) = 12\)
5. Solve for \(n\): \(7(n + 5) = 21\)

**Tip:** Always remember to check your solution by substituting it back into the original equation to verify it satisfies the equation.

Solve for j in the equation 2(j + 1) = 6.

Learn how to solve the linear equation 2(j + 1) = 6 with a detailed step-by-step solution. This problem demonstrates the distributive property and isolating 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