High School

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What is the value of [tex]$n$[/tex] that satisfies the equation [tex]$0.5n - 94.1 = -55$[/tex]?

A. 78.2
B. -298.2
C. -149.1
D. 39.1

Answer :

To solve the equation [tex]\(0.5n - 94.1 = -55\)[/tex], we need to find the value of [tex]\(n\)[/tex].

1. Start by isolating the term with [tex]\(n\)[/tex]:
First, add 94.1 to both sides of the equation to move the constant term to the right side:

[tex]\[
0.5n = -55 + 94.1
\][/tex]

2. Simplify the right side:
Calculate [tex]\(-55 + 94.1\)[/tex]:

[tex]\[
0.5n = 39.1
\][/tex]

3. Solve for [tex]\(n\)[/tex]:
Now, divide both sides by 0.5 to solve for [tex]\(n\)[/tex]:

[tex]\[
n = \frac{39.1}{0.5}
\][/tex]

4. Calculate the division:
Divide 39.1 by 0.5 to find the value of [tex]\(n\)[/tex]:

[tex]\[
n = 78.2
\][/tex]

Therefore, the value of [tex]\(n\)[/tex] that satisfies the equation is [tex]\(\boxed{78.2}\)[/tex].

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