Question 197554
{{{(8w-56)/(7-w)}}} Start with the given expression.



{{{(8(w-7))/(7-w)}}} Factor the numerator



{{{(8(w-7))/(-(w-7))}}} Factor the denominator



{{{(-8(w-7))/(w-7)}}} Reduce



{{{(-8*highlight((w-7)))/highlight((w-7))}}} Highlight the common terms



{{{(-8*cross((w-7)))/cross((w-7))}}} Cancel out the common terms



{{{-8}}} Simplify



So {{{(8w-56)/(7-w)=-8}}} where {{{w<>7}}}