Question Solve for $v$ in the equation $-8=2v-6$ . Simplify the solution.

Studdy Solution

STEP 1

Assumptions
1. The equation given is $-8 = 2v - 6$ .
2. We need to solve for the variable $v$ .
3. The operations allowed are addition, subtraction, multiplication, division, and the use of inverse operations.

STEP 2

Isolate the term containing the variable $v$ on one side of the equation. To do this, we will add $6$ to both sides of the equation to cancel the $-6$ on the right side.
$-8 + 6 = 2v - 6 + 6$

STEP 3

Perform the addition on both sides of the equation.
$-2 = 2v$

STEP 4

Now, we need to isolate the variable $v$ . Since $v$ is multiplied by $2$ , we will divide both sides of the equation by $2$ to solve for $v$ .
$\frac{-2}{2} = \frac{2v}{2}$

STEP 5

Perform the division on both sides of the equation.
$-1 = v$
Therefore, the solution for $v$ is $-1$ .

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Question Solve for $v$ in the equation $-8=2v-6$ . Simplify the solution.

Studdy Solution

STEP 1

Assumptions
1. The equation given is $-8 = 2v - 6$ .
2. We need to solve for the variable $v$ .
3. The operations allowed are addition, subtraction, multiplication, division, and the use of inverse operations.

STEP 2

Isolate the term containing the variable $v$ on one side of the equation. To do this, we will add $6$ to both sides of the equation to cancel the $-6$ on the right side.
$-8 + 6 = 2v - 6 + 6$

STEP 3

Perform the addition on both sides of the equation.
$-2 = 2v$

STEP 4

Now, we need to isolate the variable $v$ . Since $v$ is multiplied by $2$ , we will divide both sides of the equation by $2$ to solve for $v$ .
$\frac{-2}{2} = \frac{2v}{2}$

STEP 5

Perform the division on both sides of the equation.
$-1 = v$
Therefore, the solution for $v$ is $-1$ .

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Question Solve for vvv in the equation −8=2v−6-8=2v-6−8=2v−6. Simplify the solution.

Studdy Solution

STEP 1

Assumptions1. The equation given is −8=2v−6-8 = 2v - 6−8=2v−6.2. We need to solve for the variable vvv.3. The operations allowed are addition, subtraction, multiplication, division, and the use of inverse operations.

STEP 2

Isolate the term containing the variable vvv on one side of the equation. To do this, we will add 666 to both sides of the equation to cancel the −6-6−6 on the right side.−8+6=2v−6+6-8 + 6 = 2v - 6 + 6−8+6=2v−6+6

STEP 3

Perform the addition on both sides of the equation.−2=2v-2 = 2v−2=2v

STEP 4

Now, we need to isolate the variable vvv. Since vvv is multiplied by 222, we will divide both sides of the equation by 222 to solve for vvv.−22=2v2\frac{-2}{2} = \frac{2v}{2}2−2​=22v​

STEP 5

Perform the division on both sides of the equation.−1=v-1 = v−1=vTherefore, the solution for vvv is −1-1−1.

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Question Solve for $v$ in the equation $-8=2v-6$ . Simplify the solution.

Assumptions
1. The equation given is $-8 = 2v - 6$ .
2. We need to solve for the variable $v$ .
3. The operations allowed are addition, subtraction, multiplication, division, and the use of inverse operations.

Isolate the term containing the variable $v$ on one side of the equation. To do this, we will add $6$ to both sides of the equation to cancel the $-6$ on the right side.
$-8 + 6 = 2v - 6 + 6$

Perform the addition on both sides of the equation.
$-2 = 2v$

Now, we need to isolate the variable $v$ . Since $v$ is multiplied by $2$ , we will divide both sides of the equation by $2$ to solve for $v$ .
$\frac{-2}{2} = \frac{2v}{2}$

Perform the division on both sides of the equation.
$-1 = v$
Therefore, the solution for $v$ is $-1$ .