Respuesta :
Answer:
Below!
Step-by-step explanation:
Let us consider that 16 + 4 and 2(2w+8) are equal. Then;
- ⇒ 16 + 4 = 2(2w + 8)
This equation can be solved in two ways. Listed below!
Method 1:
Let's simplify the left-hand-side of the equation.
- ⇒ 20 = 2(2w + 8)
Then, divide "2" both sides of the equation to open the parentheses.
- ⇒ 20/2 = 2(2w + 8)/2
- ⇒ 10 = (2w + 8)
- ⇒ 10 = 2w + 8
Subtract 8 to both sides of the equation to isolate the variable (w) and it's coefficient.
- ⇒ 10 - 8 = 2w
- ⇒ 2 = 2w
Finally, divide 2 to both sides of the equation to isolate the variable (w).
- ⇒ w = 1
Therefore, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
Method 2:
Let's simplify the left-hand-side of the equation.
- ⇒ 20 = 2(2w + 8)
Then, simplify the distributive property to open the parentheses.
- ⇒ 20 = 2(2w + 8)
- ⇒ 20 = 4w + 16
Subtract 16 to both sides of the equation to isolate the variable and it's coefficient.
- ⇒ 20 - 16 = 4w + 16 - 16
- ⇒ 4 = 4w
Finally, divide 4 to both sides of the equation to isolate the variable (w).
- ⇒ 4/4 = 4w/4
- ⇒ w = 1
As said in method 1, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.
