What is (4m-5)-(6m-7+2n) ?

The solution to (4m-5)-(6m-7+2n) is -2m-2n+2

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simplify (4m-5)-(6m-7+2n)

simplify

(4 m - 5) - (6 m - 7 + 2 n)

- 2 m - 2 n + 2

Solution steps

(4 m - 5) - (6 m - 7 + 2 n)

Apply rule:

(a) = a

(4 m - 5) = 4 m - 5

= 4 m - 5 - (6 m - 7 + 2 n)

Apply the distributive law:

- (a - b) = - a + b

- (6 m - 7 + 2 n) = - 6 m + 7 - 2 n

= 4 m - 5 - 6 m + 7 - 2 n

Group like terms

= 4 m - 6 m - 2 n - 5 + 7

Add similar elements:

4 m - 6 m = - 2 m

= - 2 m - 2 n - 5 + 7

Add the numbers:

- 5 + 7 = 2

= - 2 m - 2 n + 2

\frac{2}{3} (\frac{1}{4} x - 6)

\frac{x ^{2} - 9}{x ^{2} + 8 x + 15}

\frac{( 6 y ^{3} ) ^{4}}{2 y ^{5}}

\frac{3}{5 + 6}

\frac{2}{9} + (- \frac{1}{2})