Finite Math Examples

$14 w - 17 = 10 w - 10$

Step 1

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

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Step 1.1

Subtract $10 w$ from both sides of the equation.

$14 w - 17 - 10 w = - 10$

Step 1.2

Subtract $10 w$ from $14 w$ .

$4 w - 17 = - 10$

Step 2

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

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Step 2.1

Add $17$ to both sides of the equation.

$4 w = - 10 + 17$

Step 2.2

Add $- 10$ and $17$ .

$4 w = 7$

Step 3

Divide each term in $4 w = 7$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 w = 7$ by $4$ .

$\frac{4 w}{4} = \frac{7}{4}$

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.

$\frac{4 w}{4} = \frac{7}{4}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{7}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = \frac{7}{4}$

Decimal Form:

$w = 1.75$

Mixed Number Form:

$w = 1 \frac{3}{4}$