Finite Math Examples

$4 p - 11 t \cdot 2006 = 200.7$

Step 1

Multiply $2006$ by $- 11$ .

$4 p - 22066 t = 200.7$

Step 2

Add $22066 t$ to both sides of the equation.

$4 p = 200.7 + 22066 t$

Step 3

Divide each term in $4 p = 200.7 + 22066 t$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 p = 200.7 + 22066 t$ by $4$ .

$\frac{4 p}{4} = \frac{200.7}{4} + \frac{22066 t}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 p}{4} = \frac{200.7}{4} + \frac{22066 t}{4}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{200.7}{4} + \frac{22066 t}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $200.7$ by $4$ .

$p = 50.175 + \frac{22066 t}{4}$

Step 3.3.1.2

Cancel the common factor of $22066$ and $4$ .

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Step 3.3.1.2.1

Factor $2$ out of $22066 t$ .

$p = 50.175 + \frac{2 (11033 t)}{4}$

Step 3.3.1.2.2

Cancel the common factors.

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Step 3.3.1.2.2.1

Factor $2$ out of $4$ .

$p = 50.175 + \frac{2 (11033 t)}{2 (2)}$

Step 3.3.1.2.2.2

Cancel the common factor.

$p = 50.175 + \frac{2 (11033 t)}{2 \cdot 2}$

Step 3.3.1.2.2.3

Rewrite the expression.

$p = 50.175 + \frac{11033 t}{2}$