Question

equivalent linear expressions — instruction — level g
are the expressions $4f + (-21) + 10f$ and $-7(-2f + 3)$ equivalent?
show why or why not.
first combine the like terms in $4f + (-21) + 10f$.
$4f + (-21) + 10f = 14f + (\square)$
an error has occurred. please enter a number.

Explanation:

Step1: Combine like variable terms

$4f + 10f + (-21) = (4+10)f + (-21) = 14f + (-21)$

Step2: Simplify the second expression

$-7(-2f + 3) = (-7)(-2f) + (-7)(3) = 14f -21$

Step3: Compare the two expressions

Both simplify to $14f -21$, so they are equivalent.

Answer:

The missing number is $-21$, and the expressions are equivalent because both simplify to $14f - 21$.