2w-3+3(w-4)-5(w-6)
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It was not -2w it was 2w
2w-3+3(w-4)-5(w-6)
2w - 3 + 3w - 12 - 5w + 30 = 30
To simplify the expression 2w - 3 + 3(w - 4) - 5(w - 6), you can follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
1. Start with the parentheses:
- Distribute the 3 into (w - 4): 3 * w = 3w, and 3 * -4 = -12.
- Distribute the -5 into (w - 6): -5 * w = -5w, and -5 * -6 = 30.
The expression becomes:
2w - 3 + 3w - 12 - 5w + 30
2. Next, combine like terms:
Combine the terms with the same variable.
2w + 3w - 5w = 0w (since 2w + 3w - 5w = 0w)
0w - 5w = -5w
The expression simplifies to:
-5w - 3 - 12 + 30
3. Finally, perform the remaining additions/subtractions:
-5w - 3 - 12 + 30 = -5w + 15
So, the simplified expression is -5w + 15.