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First factor the each term in the expression.

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5n 5 · n

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10m 2 · 5 · m

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25 5 ·

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The GCF is the product of the common prime factors in each term.

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GCF = 5

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Write each term as a product of the GCF and its remaining factors.

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5n - 10m + 25 = 5(n) - 5( 2m) + 5(5) \ \

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Combine like terms uisng distribuitve property: ab + ac = a(b + c).

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5n - 10m + 25 = 5(n - 2m + 5)

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Simplified expression is 5(n - 2m + 5) .