Question

writing use the distributive property to solve the equation below use pencil and paper describe what it mean distribute the 2 to each term inside the parentheses
2(m + 7) = 16
the solution of the equation is 7

Explanation:

Step1: Apply Distributive Property

$$2(m + 3)=16\Rightarrow2\times m+2\times3 = 16\Rightarrow2m+6 = 16$$

Step2: Subtract 6 from both sides

$$2m+6-6 = 16 - 6\Rightarrow2m=10$$

Step3: Divide both sides by 2

$$\frac{2m}{2}=\frac{10}{2}\Rightarrow m = 5$$

Answer:

The solution of the equation \(2(m + 3)=16\) is \(m = 5\)