Finite Math Examples

$D = \frac{9}{7} \cdot (m - 95)$

Step 1

Rewrite the equation as $\frac{9}{7} \cdot (m - 95) = D$ .

$\frac{9}{7} \cdot (m - 95) = D$

Step 2

Multiply both sides of the equation by $\frac{7}{9}$ .

$\frac{7}{9} (\frac{9}{7} \cdot (m - 95)) = \frac{7}{9} D$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{7}{9} (\frac{9}{7} \cdot (m - 95))$ .

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Step 3.1.1.1

Apply the distributive property.

$\frac{7}{9} (\frac{9}{7} m + \frac{9}{7} \cdot - 95) = \frac{7}{9} D$

Step 3.1.1.2

Combine $\frac{9}{7}$ and $m$ .

$\frac{7}{9} (\frac{9 m}{7} + \frac{9}{7} \cdot - 95) = \frac{7}{9} D$

Step 3.1.1.3

Multiply $\frac{9}{7} \cdot - 95$ .

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Step 3.1.1.3.1

Combine $\frac{9}{7}$ and $- 95$ .

$\frac{7}{9} (\frac{9 m}{7} + \frac{9 \cdot - 95}{7}) = \frac{7}{9} D$

Step 3.1.1.3.2

Multiply $9$ by $- 95$ .

$\frac{7}{9} (\frac{9 m}{7} + \frac{- 855}{7}) = \frac{7}{9} D$

Step 3.1.1.4

Move the negative in front of the fraction.

$\frac{7}{9} (\frac{9 m}{7} - \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.5

Apply the distributive property.

$\frac{7}{9} \cdot \frac{9 m}{7} + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.6

Cancel the common factor of $7$ .

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Step 3.1.1.6.1

Cancel the common factor.

$\frac{7}{9} \cdot \frac{9 m}{7} + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.6.2

Rewrite the expression.

$\frac{1}{9} (9 m) + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.7

Cancel the common factor of $9$ .

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Step 3.1.1.7.1

Factor $9$ out of $9 m$ .

$\frac{1}{9} (9 (m)) + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.7.2

Cancel the common factor.

$\frac{1}{9} (9 m) + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.7.3

Rewrite the expression.

$m + \frac{7}{9} (- \frac{855}{7}) = \frac{7}{9} D$

Step 3.1.1.8

Cancel the common factor of $7$ .

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Step 3.1.1.8.1

Move the leading negative in $- \frac{855}{7}$ into the numerator.

$m + \frac{7}{9} \cdot \frac{- 855}{7} = \frac{7}{9} D$

Step 3.1.1.8.2

Cancel the common factor.

$m + \frac{7}{9} \cdot \frac{- 855}{7} = \frac{7}{9} D$

Step 3.1.1.8.3

Rewrite the expression.

$m + \frac{1}{9} \cdot - 855 = \frac{7}{9} D$

Step 3.1.1.9

Cancel the common factor of $9$ .

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Step 3.1.1.9.1

Factor $9$ out of $- 855$ .

$m + \frac{1}{9} \cdot (9 (- 95)) = \frac{7}{9} D$

Step 3.1.1.9.2

Cancel the common factor.

$m + \frac{1}{9} \cdot (9 \cdot - 95) = \frac{7}{9} D$

Step 3.1.1.9.3

Rewrite the expression.

$m - 95 = \frac{7}{9} D$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine $\frac{7}{9}$ and $D$ .

$m - 95 = \frac{7 D}{9}$

Step 4

Add $95$ to both sides of the equation.

$m = \frac{7 D}{9} + 95$