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Use the Distributive Property to combine like terms and simplify the expression.

-5(c+d)+7c-2d

2c-7d

2c-d

-12c+7d

-5cd

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-5(c+d)+7c-2d simplifies to -5c - 5d + 7c - 2d.

Combining like terms, we get:
-5c + 7c - 5d - 2d.

This further simplifies to:
2c - 7d.

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