Basic Math Examples

0.06 (7000 - v) + 0.02 v = 260

$0.06 (7000 - v) + 0.02 v = 260$

Step 1

Simplify

0.06 (7000 - v) + 0.02 v

$0.06 (7000 - v) + 0.02 v$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

0.06 \cdot 7000 + 0.06 (- v) + 0.02 v = 260

$0.06 \cdot 7000 + 0.06 (- v) + 0.02 v = 260$

Step 1.1.2

Multiply

0.06

$0.06$ by

7000

$7000$ .

420 + 0.06 (- v) + 0.02 v = 260

$420 + 0.06 (- v) + 0.02 v = 260$

Step 1.1.3

Multiply

- 1

$- 1$ by

0.06

$0.06$ .

420 - 0.06 v + 0.02 v = 260

$420 - 0.06 v + 0.02 v = 260$

420 - 0.06 v + 0.02 v = 260

$420 - 0.06 v + 0.02 v = 260$

Step 1.2

Add

- 0.06 v

$- 0.06 v$ and

0.02 v

$0.02 v$ .

420 - 0.04 v = 260

$420 - 0.04 v = 260$

420 - 0.04 v = 260

$420 - 0.04 v = 260$

Step 2

Move all terms not containing

v

$v$ to the right side of the equation.

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Step 2.1

Subtract

420

$420$ from both sides of the equation.

- 0.04 v = 260 - 420

$- 0.04 v = 260 - 420$

Step 2.2

Subtract

420

$420$ from

260

$260$ .

- 0.04 v = - 160

$- 0.04 v = - 160$

- 0.04 v = - 160

$- 0.04 v = - 160$

Step 3

Divide each term in

- 0.04 v = - 160

$- 0.04 v = - 160$ by

- 0.04

$- 0.04$ and simplify.

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Step 3.1

Divide each term in

- 0.04 v = - 160

$- 0.04 v = - 160$ by

- 0.04

$- 0.04$ .

\frac{- 0.04 v}{- 0.04} = \frac{- 160}{- 0.04}

$\frac{- 0.04 v}{- 0.04} = \frac{- 160}{- 0.04}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

- 0.04

$- 0.04$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 0.04 v}{- 0.04} = \frac{- 160}{- 0.04}$

Step 3.2.1.2

Divide

$v$ by

$1$ .

$v = \frac{- 160}{- 0.04}$

$v = \frac{- 160}{- 0.04}$

$v = \frac{- 160}{- 0.04}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 160$ by

$- 0.04$ .

$v = 4000$

$v = 4000$

$v = 4000$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$