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Solve for ww.\newline2(w−6)=62(w - 6) = 6\newlinew=w = ____\_\_\_\_

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Full solution

Q. Solve for ww.\newline2(w−6)=62(w - 6) = 6\newlinew=w = ____\_\_\_\_
  1. Distribute property: Simplify 2(w−6)2(w - 6) by using the distributive property.\newline2(w−6)2(w - 6) \newline= 2(w)+2(−6)2(w) + 2(-6)\newline= 2w−122w - 12
  2. Set up equation: Set up the equation with the simplified expression. 2w−12=62w - 12 = 6
  3. Isolate 2w2w: Isolate 2w2w by adding 1212 to both sides of the equation.\newline2w−12+12=6+122w - 12 + 12 = 6 + 12\newline2w=182w = 18
  4. Divide to solve: Divide both sides of the equation by 22 to solve for ww.\newline2w2=182\frac{2w}{2} = \frac{18}{2}\newlinew=9w = 9

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