Question

writing use the distributive property to solve the equation below. use pencil and paper. describe what it means to distribute the 2 to each term inside the parentheses.
2(n + 2) = 10
the solution of the equation is
(type the value of n.)

Explanation:

Step1: Apply the Distributive Property

The Distributive Property \(a(b + c)=ab+ac\). Here \(a = 2\), \(b=n\), \(c = 2\). So \(2(n + 2)=2\times n+2\times2=2n+4\). The equation becomes \(2n+4 = 18\).

Step2: Subtract 4 from both sides

To isolate the term with \(n\), use the subtraction - property of equality. \(2n+4-4=18 - 4\). So \(2n=14\).

Step3: Divide both sides by 2

Using the division - property of equality. \(\frac{2n}{2}=\frac{14}{2}\).

Answer:

\(n = 7\)