QuestionSolve for $v$ . $3+4 v=-13$
Simplify your answer as much as possible. $v=$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $v$ that makes the equation $3 + 4v = -13$ true. Watch out! Don't forget to keep track of the negative signs and perform the same operations on both sides of the equation!

STEP 2

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

STEP 3

We want to get the term with $v$ by itself.
We see that $3$ is added to $4v$ , so to isolate the term with $v$ , we'll subtract $3$ from both sides of the equation.
Remember, what we do to one side, we must do to the other to keep the equation balanced! $3 + 4v - 3 = -13 - 3$ $4v = -16$ So, we've isolated the term with $v$ !
Now, let's solve for $v$ !

STEP 4

We have $4$ multiplied by $v$ , and we want to get $v$ by itself.
To do this, we'll divide both sides of the equation by 4.
This is like multiplying both sides by $\frac{1}{4}$ , which will turn the $4$ into a $1$ since $4 \cdot \frac{1}{4} = 1$ . $\frac{4v}{4} = \frac{-16}{4}$ $v = -4$ Boom! We've found the value of $v$ !

STEP 5

$v = -4$

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