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How do you write (w+5)+(-4) using the associative property

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The associative property just means "to group."  When adding with a variable, you can group terms together and rearrange them without changing the final sum of the equation.  (It's the same as saying 2+3+5=10.  2+3+5=10, 3+5+2=10, 5+2+3=10, etc.)


So, (w+5)+(-4) can be rewritten as 4-(w+5), (-4)+(w+5), (w+5)-4, or (w-4)+5.  When you combine like-terms, this simplifies to w+1.