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(m - 2)(2m + 6) / (3m + 9)(2m - 4)

Simplify the numerators (top numbers) first.

(m - 2)(2m + 6)

2m² + 6m - 4m - 12

Add like terms.

2m² + 2m - 12

Then, do the denominators (bottom numbers)

(3m + 9)(2m - 4)

Simplify.

6m² - 12m + 18m - 36

Add like terms.

6m² + 6m - 36

Now, put those together.

tex] \frac{6m^2 - 12m - 36}{6m^2 + 6m - 36} [/tex]

Simplify everything.

(simplification showed on attachment)

1 - 2 + 1

Simplify.

-1 + 1

0

~Hope I helped!~
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