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Question
Rewrite in simplest terms: 
-6(0.6 w-3w-0.9)-0.9 w

Question\newlineRewrite in simplest terms: 6(0.6w3w0.9)0.9w -6(0.6 w-3 w-0.9)-0.9 w

Full solution

Q. Question\newlineRewrite in simplest terms: 6(0.6w3w0.9)0.9w -6(0.6 w-3 w-0.9)-0.9 w
  1. Distribute 6-6: First, distribute the 6-6 across the terms inside the parentheses.\newline6×0.6w=3.6w-6 \times 0.6w = -3.6w\newline6×3w=18w-6 \times -3w = 18w\newline6×0.9=5.4-6 \times -0.9 = 5.4\newlineSo the expression becomes: 3.6w+18w+5.40.9w-3.6w + 18w + 5.4 - 0.9w
  2. Combine like terms: Next, combine like terms, which are the terms with the variable ww.3.6w+18w0.9w=13.5w-3.6w + 18w - 0.9w = 13.5w So the expression now is: 13.5w+5.413.5w + 5.4
  3. Final simplified expression: Finally, there are no more like terms to combine, so the expression is already in its simplest form.\newlineThe final simplified expression is: 13.5w+5.413.5w + 5.4

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