Question

What is the value of n in the equation

3n - 8 = 32 - n?
1.) -10
2.) -6
3.) 6
4.) 10

Answer 1

Answer:Shlong dong

Explanation:

Answer 2

n = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define

3n - 8 = 32 - n

Step 2: Solve for n

1. Add n on both sides: 4n - 8 = 32
2. Add 8 on both sides: 4n = 40
3. Divide 4 on both sides: n = 10

Step 3: Check

Plug in n into the original equation to verify it's a solution.

1. Substitute in n: 3(10) - 8 = 32 - 10
2. Multiply: 30 - 8 = 32 - 10
3. Subtract: 22 = 22

Here we see that 22 does indeed equal 22.

∴ n = 10 is the solution to the equation.