Finite Math Examples

$9 (p - 2) = 8 (p - 2)$

Step 1

Simplify $9 (p - 2)$ .

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Step 1.1

Rewrite.

$0 + 0 + 9 (p - 2) = 8 (p - 2)$

Step 1.2

Simplify by adding zeros.

$9 (p - 2) = 8 (p - 2)$

Step 1.3

Apply the distributive property.

$9 p + 9 \cdot - 2 = 8 (p - 2)$

Step 1.4

Multiply $9$ by $- 2$ .

$9 p - 18 = 8 (p - 2)$

Step 2

Simplify $8 (p - 2)$ .

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Step 2.1

Apply the distributive property.

$9 p - 18 = 8 p + 8 \cdot - 2$

Step 2.2

Multiply $8$ by $- 2$ .

$9 p - 18 = 8 p - 16$

Step 3

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

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Step 3.1

Subtract $8 p$ from both sides of the equation.

$9 p - 18 - 8 p = - 16$

Step 3.2

Subtract $8 p$ from $9 p$ .

$p - 18 = - 16$

Step 4

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

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Step 4.1

Add $18$ to both sides of the equation.

$p = - 16 + 18$

Step 4.2

Add $- 16$ and $18$ .

$p = 2$

Step 5

The domain is the set of all valid $p$ values.

${p | p = 2}$

Step 6