What is (1/3-6m)-(1/4 n-8) ?

The solution to (1/3-6m)-(1/4 n-8) is 25/3-6m-n/4

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simplify (1/3-6m)-(1/4 n-8)

simplify

(\frac{1}{3} - 6 m) - (\frac{1}{4} n - 8)

\frac{25}{3} - 6 m - \frac{n}{4}

Solution steps

(\frac{1}{3} - 6 m) - (\frac{1}{4} n - 8)

Apply rule:

(a) = a

(\frac{1}{3} - 6 m) = \frac{1}{3} - 6 m

= \frac{1}{3} - 6 m - (\frac{1}{4} n - 8)

Apply the distributive law:

- (a - b) = - a + b

- (\frac{1}{4} n - 8) = - \frac{1}{4} n + 8

= \frac{1}{3} - 6 m - \frac{1}{4} n + 8

Join

\frac{1}{3} - 6 m - \frac{1}{4} n + 8 : \frac{25}{3} - 6 m - \frac{1}{4} n

= \frac{25}{3} - 6 m - \frac{1}{4} n

Simplify

\frac{1}{4} n : \frac{n}{4}

= \frac{25}{3} - 6 m - \frac{n}{4}

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