QuestionSolve for $v$ . $\begin{array}{l} \frac{v}{3}+-14=-17 \\ v=\square \end{array}$
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Studdy Solution

STEP 1

What is this asking? We need to find the value of $v$ that makes the equation $\frac{v}{3} - 14 = -17$ true! Watch out! Don't forget to keep track of those negative signs; they can be sneaky!

STEP 2

1. Isolate the term with $v$ .
2. Solve for $v$ .

STEP 3

We want to get $\frac{v}{3}$ by itself.
The equation is $\frac{v}{3} - 14 = -17$ .
Since we're subtracting 14, we can add 14 to both sides to zero out the -14.
This gives us: $\frac{v}{3} - 14 + 14 = -17 + 14$ $\frac{v}{3} = -3$ Now, $\frac{v}{3}$ is all alone!

STEP 4

We have $\frac{v}{3} = -3$ .
We're dividing $v$ by 3, so to get $v$ by itself, we need to multiply both sides by 3.
This will divide the 3 to one on the left side, and give us our final value for $v$ : $\frac{v}{3} \cdot 3 = -3 \cdot 3$ $v = -9$ Awesome! We found $v$ !

STEP 5

$v = -9$

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