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What value of $w$ is a solution to this equation? $\newline$ $8w = 96$ $\newline$ Choices: $\newline$ (A) $w = 11$ $\newline$ (B) $w = 12$

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Which x satisfies an equation?

Full solution

Q. What value of

w

is a solution to this equation?

\newline

8w = 96

\newline

Choices:

\newline

(A)

w = 11

\newline

(B)

w = 12

Identify Operation: Identify the operation needed to solve for $w$ . The equation is $8w = 96$ , which means $8$ times some number $w$ equals $96$ . To find the value of $w$ , we need to perform the inverse operation of multiplication, which is division.
Divide to Isolate $w$ : Divide both sides of the equation by $8$ to isolate $w$ . $\newline$ To solve for $w$ , we divide both sides of the equation by $8$ . This gives us $w = \frac{96}{8}$ .
Perform Division: Perform the division to find the value of $w$ . $\newline$ Now we calculate $96$ divided by $8$ , which equals $12$ . So, $w = 12$ .

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