Chemistry Examples

$p - (p + 24) = 8 (p - 3) + 2 p$

Step 1

Simplify $p - (p + 24)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$p - p - 1 \cdot 24 = 8 (p - 3) + 2 p$

Step 1.1.2

Multiply $- 1$ by $24$ .

$p - p - 24 = 8 (p - 3) + 2 p$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $p$ from $p$ .

$0 - 24 = 8 (p - 3) + 2 p$

Step 1.2.2

Subtract $24$ from $0$ .

$- 24 = 8 (p - 3) + 2 p$

Step 2

Simplify $8 (p - 3) + 2 p$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 24 = 8 p + 8 \cdot - 3 + 2 p$

Step 2.1.2

Multiply $8$ by $- 3$ .

$- 24 = 8 p - 24 + 2 p$

Step 2.2

Add $8 p$ and $2 p$ .

$- 24 = 10 p - 24$

Step 3

Since $p$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$10 p - 24 = - 24$

Step 4

Move all terms not containing $p$ to the right side of the equation.

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Step 4.1

Add $24$ to both sides of the equation.

$10 p = - 24 + 24$

Step 4.2

Add $- 24$ and $24$ .

$10 p = 0$

Step 5

Divide each term in $10 p = 0$ by $10$ and simplify.

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Step 5.1

Divide each term in $10 p = 0$ by $10$ .

$\frac{10 p}{10} = \frac{0}{10}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $10$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{10 p}{10} = \frac{0}{10}$

Step 5.2.1.2

Divide $p$ by $1$ .

$p = \frac{0}{10}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $10$ .

$p = 0$