Algebra Examples

$t (n) = 5 n - 3$

Step 1

Subtract $5 n$ from both sides of the equation.

$t n - 5 n = - 3$

Step 2

Factor $n$ out of $t n - 5 n$ .

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Step 2.1

Factor $n$ out of $t n$ .

$n t - 5 n = - 3$

Step 2.2

Factor $n$ out of $- 5 n$ .

$n t + n \cdot - 5 = - 3$

Step 2.3

Factor $n$ out of $n t + n \cdot - 5$ .

$n (t - 5) = - 3$

Step 3

Divide each term in $n (t - 5) = - 3$ by $t - 5$ and simplify.

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Step 3.1

Divide each term in $n (t - 5) = - 3$ by $t - 5$ .

$\frac{n (t - 5)}{t - 5} = \frac{- 3}{t - 5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $t - 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{n (t - 5)}{t - 5} = \frac{- 3}{t - 5}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 3}{t - 5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$n = - \frac{3}{t - 5}$