What is 7m-3n+[4m+(3m-4n)-(5m-2n)+6m]-8m ?

The solution to 7m-3n+[4m+(3m-4n)-(5m-2n)+6m]-8m is 7m-5n

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simplify 7m-3n+[4m+(3m-4n)-(5m-2n)+6m]-8m

simplify

7 m - 3 n + [4 m + (3 m - 4 n) - (5 m - 2 n) + 6 m] - 8 m

7 m - 5 n

Solution steps

7 m - 3 n + (4 m + (3 m - 4 n) - (5 m - 2 n) + 6 m) - 8 m

Simplify

7 m - 3 n + (4 m + (3 m - 4 n) - (5 m - 2 n) + 6 m) - 8 m : 7 m - 3 n + 4 m + 3 m - 4 n - (5 m - 2 n) + 6 m - 8 m

= 7 m - 3 n + 4 m + 3 m - 4 n - (5 m - 2 n) + 6 m - 8 m

Group like terms

= - (5 m - 2 n) + 7 m + 4 m + 3 m + 6 m - 8 m - 3 n - 4 n

Add similar elements:

7 m + 4 m + 3 m + 6 m - 8 m = 12 m

= - (5 m - 2 n) + 12 m - 3 n - 4 n

Add similar elements:

- 3 n - 4 n = - 7 n

= - (5 m - 2 n) + 12 m - 7 n

Apply the distributive law:

- (a - b) = - a + b

- (5 m - 2 n) = - 5 m + 2 n

= - 5 m + 2 n + 12 m - 7 n

Group like terms

= - 5 m + 12 m + 2 n - 7 n

Add similar elements:

- 5 m + 12 m = 7 m

= 7 m + 2 n - 7 n

Add similar elements:

2 n - 7 n = - 5 n

= 7 m - 5 n

\frac{7}{x ^{2} + 6 x + 8} - \frac{x}{x + 2}

3 + (- 6)

(s + 1) (s + 1)

\frac{7}{24} \times \frac{3}{14} \times \frac{6}{18} \times \frac{8}{3}

\frac{( \frac{5 x ^{4} y ^{2}}{4 x y ^{7}} ) ^{2}}{( \frac{10 x ^{3} y ^{2}}{2 x ^{5} y} )}

What is 7m-3n+[4m+(3m-4n)-(5m-2n)+6m]-8m ?
The solution to 7m-3n+[4m+(3m-4n)-(5m-2n)+6m]-8m is 7m-5n