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Solve for ww.\newline2(w+4)≤−162(w + 4) \leq -16

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Full solution

Q. Solve for ww.\newline2(w+4)≤−162(w + 4) \leq -16
  1. Distribute and Simplify: First, distribute the 22 into the parentheses.2(w)+2(4)≤−162(w) + 2(4) \leq -162w+8≤−162w + 8 \leq -16
  2. Subtract to Isolate: Next, subtract 88 from both sides to isolate the term with ww.\newline2w+8−8≤−16−82w + 8 - 8 \leq -16 - 8\newline2w≤−242w \leq -24
  3. Divide to Solve: Now, divide both sides by 22 to solve for ww.2w2≤−242\frac{2w}{2} \leq \frac{-24}{2}w≤−12w \leq -12

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