Question
Spotify - We... Apple idp.bowiestat... Seal Numbers and Algebraic Expressions Using distribution with double negation and combining like terms to. \( \quad-2 w-3(-2 x+4 w)+6 x \)
Ask by Dickson Martinez. in the United States
Mar 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 12x - 14w \).
Solution
Let's simplify the expression step by step:
Expression:
-2w - 3(-2x + 4w) + 6x
Step 1: Distribute -3 across the terms inside the parentheses.
-3 × (-2x) = 6x
-3 × (4w) = -12w
Now the expression becomes:
-2w + 6x - 12w + 6x
Step 2: Combine like terms.
For w: -2w - 12w = -14w
For x: 6x + 6x = 12x
So the simplified expression is:
12x - 14w
You could also factor out a common factor if needed:
2(6x - 7w)
Final Answer: 12x - 14w
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
Let's simplify the expression step-by-step! First, handle the double negation and distribute \(-3\) across \(-2x + 4w\): \(-3(-2x + 4w) = 6x - 12w\). Now substitute this back into the expression: \(-2w + 6x - 12w + 6x\). Combine like terms to get: \( (6x + 6x) + (-2w - 12w) = 12x - 14w\). And voilà! Mathematics can sometimes feel like a puzzle, but thinking of it as a fun game can help! Remember to take your time with distribution and be careful with signs. It’s easy to slip up when negative signs are around, so double-check your work after combining like terms. Play with numbers like they're your game pieces—enjoy the process!
