Question 135992
{{{6(5g+2)= 30g}}}


Use the distributive property:
{{{30g+12=30g}}}


Add -30g to both sides of the equation:
{{{30g-30g+12=30g-30g}}}
{{{12=0}}}, which, of course is absurd.  Therefore there is no number g that satisfies the original equation.  In other words, the solution set of {{{6(5g+2)= 30g}}} is the empty set.


By the way, I for one am getting a bit annoyed by your "Any <u>straightfoward</u> and <u>correct</u> help would be much obliged" tag line every time you submit a question.  The implication is that those of us out here volunteering our time are either giving you convoluted and difficult to understand instruction, or just downright wrong answers.  I'll be the first to admit that none of us are perfect, but your comment just smacks of disrespect.