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Answer :
To solve the equation [tex]\(3v + 16 = 60\)[/tex] for [tex]\(v\)[/tex], we need to isolate [tex]\(v\)[/tex] on one side of the equation. Let’s go through the steps carefully:
1. Original Equation:
The equation we start with is:
[tex]\[ 3v + 16 = 60 \][/tex]
2. Correct Operation:
In Step One, the student needs to remove the constant term (16) from the left side to begin isolating [tex]\(v\)[/tex]. To do this, the correct operation is to subtract 16 from both sides of the equation. This ensures we maintain the equality.
[tex]\[
3v + 16 - 16 = 60 - 16
\][/tex]
3. Simplifying:
Simplifying both sides gives:
[tex]\[
3v = 44
\][/tex]
4. Solving for [tex]\(v\)[/tex]:
Now that we have [tex]\(3v = 44\)[/tex], to solve for [tex]\(v\)[/tex], divide both sides by 3:
[tex]\[
v = \frac{44}{3}
\][/tex]
5. Final Answer:
The value of [tex]\(v\)[/tex] is:
[tex]\[
v = \frac{44}{3} \approx 14.67
\][/tex]
So, the correct operation that should have been performed in Step One is to subtract 16 from both sides. This process helps to systematically solve for [tex]\(v\)[/tex].
1. Original Equation:
The equation we start with is:
[tex]\[ 3v + 16 = 60 \][/tex]
2. Correct Operation:
In Step One, the student needs to remove the constant term (16) from the left side to begin isolating [tex]\(v\)[/tex]. To do this, the correct operation is to subtract 16 from both sides of the equation. This ensures we maintain the equality.
[tex]\[
3v + 16 - 16 = 60 - 16
\][/tex]
3. Simplifying:
Simplifying both sides gives:
[tex]\[
3v = 44
\][/tex]
4. Solving for [tex]\(v\)[/tex]:
Now that we have [tex]\(3v = 44\)[/tex], to solve for [tex]\(v\)[/tex], divide both sides by 3:
[tex]\[
v = \frac{44}{3}
\][/tex]
5. Final Answer:
The value of [tex]\(v\)[/tex] is:
[tex]\[
v = \frac{44}{3} \approx 14.67
\][/tex]
So, the correct operation that should have been performed in Step One is to subtract 16 from both sides. This process helps to systematically solve for [tex]\(v\)[/tex].
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