If 3(2n + 4) = 42, what is the value of n? — SAT

If $3(2n + 4) = 42$ , what is the value of $n$ ?

Answer: 5

To solve the linear equation

3(2n + 4) = 42

, first divide both sides of the equation by 3, which simplifies it to

2n + 4 = 14

. Next, subtract 4 from both sides of the equation to isolate the term with the variable, giving

2n = 10

. Finally, divide both sides of the equation by 2 to solve for the variable, which yields

n = 5

Divide both sides of the equation by 3.

2n + 4 = 14

To simplify the equation by eliminating the outer constant multiplier.

Subtract 4 from both sides of the equation.

2n = 10

To isolate the variable term on one side of the equation.

Divide both sides of the equation by 2.

n = 5

To find the value of

n

Solving a linear equation in one variable using inverse operations.

Estimated Time:45s

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