Question 528612
{{{(3/5)k + 17 = (8/5)k}}}
{{{(3k/5) + 17 = (8k/5)}}}
{{{(3k/5) - (8k/5)=-17}}}
Take LCD
{{{(3k-8k)/5=-17}}}
{{{-5k/5=-17}}}
{{{-cross(5)k/cross(5)=-17}}}
{{{-k=-17}}}
Multiply by (-1) both sides
{{{-k(-1)=-17(-1)}}}
{{{k=17}}}


Check
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{{{(3/5)k + 17 = (8/5)k}}}
{{{(3/5)(17) + 17 = (8/5)(17)}}}
{{{(51/5) + 17 = 136/5}}}
{{{(51+85)/5 = 136/5}}}
{{{136/5 = 136/5}}}