Question 102384


{{{3-4q=10q+10}}} Start with the given equation



{{{-4q=10q+10-3}}}Subtract 3 from both sides



{{{-4q-10q=10-3}}} Subtract 10q from both sides



{{{-14q=10-3}}} Combine like terms on the left side



{{{-14q=7}}} Combine like terms on the right side



{{{q=(7)/(-14)}}} Divide both sides by -14 to isolate q




{{{q=-1 / 2}}} Reduce


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Answer:

So our answer is {{{q=-1 / 2}}}  (which is {{{q=-0.5}}} in decimal form)