What is the value of n in the equation 3n - 8 = 32 - n?
1.) -10
2.) -6
3.) 6
4.) 10

n = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3n - 8 = 32 - n

Step 2: Solve for n

Add n on both sides:                    4n - 8 = 32Add 8 on both sides:                    4n = 40Divide 4 on both sides:                n = 10

Step 3: Check

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

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

Here we see that 22 does indeed equal 22.

∴ n = 10 is the solution to the equation.

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