Basic Math Examples

t = 50 + \frac{n - 40}{4}

$t = 50 + \frac{n - 40}{4}$

Step 1

Rewrite the equation as

50 + \frac{n - 40}{4} = t

$50 + \frac{n - 40}{4} = t$ .

50 + \frac{n - 40}{4} = t

$50 + \frac{n - 40}{4} = t$

Step 2

Simplify

50 + \frac{n - 40}{4}

$50 + \frac{n - 40}{4}$ .

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Step 2.1

To write

50

$50$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

50 \cdot \frac{4}{4} + \frac{n - 40}{4} = t

$50 \cdot \frac{4}{4} + \frac{n - 40}{4} = t$

Step 2.2

Simplify terms.

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Step 2.2.1

Combine

50

$50$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{50 \cdot 4}{4} + \frac{n - 40}{4} = t

$\frac{50 \cdot 4}{4} + \frac{n - 40}{4} = t$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{50 \cdot 4 + n - 40}{4} = t

$\frac{50 \cdot 4 + n - 40}{4} = t$

\frac{50 \cdot 4 + n - 40}{4} = t

$\frac{50 \cdot 4 + n - 40}{4} = t$

Step 2.3

Simplify the numerator.

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Step 2.3.1

Multiply

50

$50$ by

4

$4$ .

\frac{200 + n - 40}{4} = t

$\frac{200 + n - 40}{4} = t$

Step 2.3.2

Subtract

40

$40$ from

200

$200$ .

\frac{n + 160}{4} = t

$\frac{n + 160}{4} = t$

\frac{n + 160}{4} = t

$\frac{n + 160}{4} = t$

\frac{n + 160}{4} = t

$\frac{n + 160}{4} = t$

Step 3

Multiply both sides of the equation by

4

$4$ .

4 \frac{n + 160}{4} = 4 t

$4 \frac{n + 160}{4} = 4 t$

Step 4

Simplify the left side.

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Step 4.1

Cancel the common factor of

4

$4$ .

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Step 4.1.1

Cancel the common factor.

$4 \frac{n + 160}{4} = 4 t$

Step 4.1.2

Rewrite the expression.

$n + 160 = 4 t$

Step 5

Subtract

$160$ from both sides of the equation.

$n = 4 t - 160$