How do I simplify 2w – 3 + 3(w – 4) – 5(w – 6)
just apply the distributive property as usual:
2w – 3 + 3(w – 4) – 5(w – 6)
2w - 3 + 3w - 12 - 5w + 30
15
Can you break it down for me to understand it better
2w - 3 + 3w - 12 - 5w + 30
2w + 3w - 5w = 0
-3 - 12 + 30 = 15
To simplify the expression 2w - 3 + 3(w - 4) - 5(w - 6), we can follow the distributive property and combine like terms.
Step 1: Distribute the constants and variables inside the parentheses.
3(w - 4) = 3w - 12
-5(w - 6) = -5w + 30
Now, the expression becomes:
2w - 3 + 3w - 12 - 5w + 30
Step 2: Combine the like terms.
(2w + 3w - 5w) + (-3 - 12 + 30)
Simplifying the terms:
2w + 3w - 5w is equal to 0w, which simplifies to 0.
-3 - 12 + 30 is equal to 15.
So, the simplified expression is 0w + 15 or simply 15.