Question 97158
{{{7k - 8 + 2(k+12) = 52}}} Start with the given equation


{{{7k - 8 + 2k+24 = 52}}} Distribute



{{{9k+16=52}}} Combine like terms on the left side



{{{9k=52-16}}}Subtract 16 from both sides



{{{9k=36}}} Combine like terms on the right side



{{{k=(36)/(9)}}} Divide both sides by 9 to isolate k




{{{k=4}}} Divide


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Answer:

So our answer is {{{k=4}}}