Final answer:
By adding 29 to both sides of the equation and subsequently converting 29 into seventeenths to add them together, we find the value of 'k' to be 485/17.
Step-by-step explanation:
The question asks us to find the value of k in the equation -29+ k = -8/17. First, to collect like terms, we can add 29 to both sides of the equation:
-29 + k + 29 = -8/17 + 29.
This simplifies to:
k = -8/17 + 29.
Now we need to convert 29 to seventeenth, which equals 493/17. So, we have:
k = -8/17 + 493/17.
Adding these together, we get:
k = 485/17.
Therefore, the value of k that makes the equation true is 485/17.
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