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) = 8 the solution of the equation is type the value of n.

Explanation:

Step1: Apply the Distributive Property

Multiply 2 by each term inside the parentheses: \(2\times n+2\times(- 2)=8\), which simplifies to \(2n - 4=8\).

Step2: Add 4 to both sides

To isolate the term with \(n\), add 4 to both sides of the equation: \(2n-4 + 4=8 + 4\), resulting in \(2n=12\).

Step3: Divide both sides by 2

Divide both sides of the equation \(2n = 12\) by 2: \(\frac{2n}{2}=\frac{12}{2}\).

Answer:

\(n = 6\)