Which expression is equivalent to [tex]$20w - (4w + 3w)$[/tex]?

A. [tex]$10w$[/tex]
B. [tex][tex]$13w$[/tex][/tex]
C. [tex]$19w$[/tex]
D. [tex]$21w$[/tex]



Answer :

To determine which expression is equivalent to [tex]\( 20w - (4w + 3w) \)[/tex], let's simplify the given expression step by step.

1. Start with the original expression:
[tex]\[ 20w - (4w + 3w) \][/tex]

2. Simplify inside the parentheses first:
[tex]\[ 4w + 3w = 7w \][/tex]

3. Substitute [tex]\( 7w \)[/tex] back into the expression:
[tex]\[ 20w - 7w \][/tex]

4. Now, subtract the coefficients of [tex]\( w \)[/tex]:
[tex]\[ 20w - 7w = 13w \][/tex]

Thus, the expression [tex]\( 20w - (4w + 3w) \)[/tex] simplifies to [tex]\( 13w \)[/tex].

Therefore, the correct equivalent expression is:
[tex]\[ \boxed{13w} \][/tex]

So, the answer is (B) [tex]\( 13w \)[/tex].