Question 409262


{{{16-2(8w-7)=3w-18(2-w)}}} Start with the given equation.



{{{16-16w+14=3w-36+18w}}} Distribute.



{{{-16w+30=3w-36+18w}}} Combine like terms on the left side.



{{{-16w+30=21w-36}}} Combine like terms on the right side.



{{{-16w=21w-36-30}}} Subtract {{{30}}} from both sides.



{{{-16w-21w=-36-30}}} Subtract {{{21w}}} from both sides.



{{{-37w=-36-30}}} Combine like terms on the left side.



{{{-37w=-66}}} Combine like terms on the right side.



{{{w=(-66)/(-37)}}} Divide both sides by {{{-37}}} to isolate {{{w}}}.



{{{w=66/37}}} Reduce.



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Answer:


So the answer is {{{w=66/37}}} which approximates to {{{w=1.784}}}. 



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