Finite Math Examples

$297 - \frac{4}{3} q = \frac{5}{3} q$

Step 1

Simplify each term.

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Step 1.1

Combine $q$ and $\frac{4}{3}$ .

$297 - \frac{q \cdot 4}{3} = \frac{5}{3} q$

Step 1.2

Move $4$ to the left of $q$ .

$297 - \frac{4 q}{3} = \frac{5}{3} q$

Step 2

Combine $\frac{5}{3}$ and $q$ .

$297 - \frac{4 q}{3} = \frac{5 q}{3}$

Step 3

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

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Step 3.1

Subtract $\frac{5 q}{3}$ from both sides of the equation.

$297 - \frac{4 q}{3} - \frac{5 q}{3} = 0$

Step 3.2

Combine the numerators over the common denominator.

$297 + \frac{- 4 q - 5 q}{3} = 0$

Step 3.3

Subtract $5 q$ from $- 4 q$ .

$297 + \frac{- 9 q}{3} = 0$

Step 3.4

Cancel the common factor of $- 9$ and $3$ .

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Step 3.4.1

Factor $3$ out of $- 9 q$ .

$297 + \frac{3 (- 3 q)}{3} = 0$

Step 3.4.2

Cancel the common factors.

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Step 3.4.2.1

Factor $3$ out of $3$ .

$297 + \frac{3 (- 3 q)}{3 (1)} = 0$

Step 3.4.2.2

Cancel the common factor.

$297 + \frac{3 (- 3 q)}{3 \cdot 1} = 0$

Step 3.4.2.3

Rewrite the expression.

$297 + \frac{- 3 q}{1} = 0$

Step 3.4.2.4

Divide $- 3 q$ by $1$ .

$297 - 3 q = 0$

Step 4

Subtract $297$ from both sides of the equation.

$- 3 q = - 297$

Step 5

Divide each term in $- 3 q = - 297$ by $- 3$ and simplify.

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Step 5.1

Divide each term in $- 3 q = - 297$ by $- 3$ .

$\frac{- 3 q}{- 3} = \frac{- 297}{- 3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 3 q}{- 3} = \frac{- 297}{- 3}$

Step 5.2.1.2

Divide $q$ by $1$ .

$q = \frac{- 297}{- 3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 297$ by $- 3$ .

$q = 99$