Trigonometry Examples

$a_{25} = - 7 n + 17$

Step 1

Rewrite the equation as $- 7 n + 17 = a_{25}$ .

$- 7 n + 17 = a_{25}$

Step 2

Subtract $17$ from both sides of the equation.

$- 7 n = a_{25} - 17$

Step 3

Divide each term in $- 7 n = a_{25} - 17$ by $- 7$ and simplify.

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Step 3.1

Divide each term in $- 7 n = a_{25} - 17$ by $- 7$ .

$\frac{- 7 n}{- 7} = \frac{a_{25}}{- 7} + \frac{- 17}{- 7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 7 n}{- 7} = \frac{a_{25}}{- 7} + \frac{- 17}{- 7}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{a_{25}}{- 7} + \frac{- 17}{- 7}$

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

Move the negative in front of the fraction.

$n = - \frac{a_{25}}{7} + \frac{- 17}{- 7}$

Step 3.3.1.2

Dividing two negative values results in a positive value.

$n = - \frac{a_{25}}{7} + \frac{17}{7}$