Algebra Examples

$7 (- v - 2) = - 6 v$

Step 1

Simplify $7 (- v - 2)$ .

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Step 1.1

Rewrite.

$0 + 0 + 7 (- v - 2) = - 6 v$

Step 1.2

Simplify by adding zeros.

$7 (- v - 2) = - 6 v$

Step 1.3

Apply the distributive property.

$7 (- v) + 7 \cdot - 2 = - 6 v$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $- 1$ by $7$ .

$- 7 v + 7 \cdot - 2 = - 6 v$

Step 1.4.2

Multiply $7$ by $- 2$ .

$- 7 v - 14 = - 6 v$

Step 2

Move all terms containing $v$ to the left side of the equation.

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Step 2.1

Add $6 v$ to both sides of the equation.

$- 7 v - 14 + 6 v = 0$

Step 2.2

Add $- 7 v$ and $6 v$ .

$- v - 14 = 0$

Step 3

Add $14$ to both sides of the equation.

$- v = 14$

Step 4

Divide each term in $- v = 14$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- v = 14$ by $- 1$ .

$\frac{- v}{- 1} = \frac{14}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{v}{1} = \frac{14}{- 1}$

Step 4.2.2

Divide $v$ by $1$ .

$v = \frac{14}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $14$ by $- 1$ .

$v = - 14$