Question

The simplified form of 6(m-2n) - (4m-5n) is

Answer 1

2m−7n

Explanation:

Let's simplify step-by-step.

6(m−2n)−(4m−5n)

Distribute the Negative Sign:

=6(m−2n)+−1(4m−5n)

=6(m−2n)+−1(4m)+−1(−5n)

=6(m−2n)+−4m+5n

Distribute:

=(6)(m)+(6)(−2n)+−4m+5n

=6m+−12n+−4m+5n

Combine Like Terms:

=6m+−12n+−4m+5n

=(6m+−4m)+(−12n+5n)

=2m+−7n