Which statements are true about the expression 7(2w-4)? Check all that apply. -To simplify, distribute 2w to 7 and 4. -7(2w) can be rewritten as 14w. -7(2w-4) can be rewritten as 7(2w)-7(4). -7(2w-4) can be rewritten as 7(2w)-(4). -An equivalent expression is 10w -An equivalent expression is 14w-4 -An equivalent expression is 14w-28
Mathematics · College · Tue Nov 03 2020
Answered on
Given the equation:
7(2w - 4)
Simplify the equation.
Solution:
In order to simplify the equation, we simply needed to distribute 7 to each value inside the parenthesis. When we say distribute, this basically means that we need to multiply 7 to 2w and -4.
= 7(2w - 4)
= 14w - 28
If we are asked to find the value of w, we simply transpose -28 to the other side of the equation, and divide both sides by 14, hence it must be taken to note that in transposing a number, the sign changes.
14w = 28
14w/14 = 28/14
w = 2
Final answer:
= 14w - 28
w = 2