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(k-7)/5+2=(k+8)/10
We simplify the equation to the form, which is simple to understand
(k-7)/5+2=(k+8)/10
Reorder the terms in parentheses
( + 0.2k-1.4)+2=(k+8)/10
Remove unnecessary parentheses
+ 0.2k-1.4+2=(k+8)/10
Reorder the terms in parentheses
+ 0.2k-1.4+2=( + 0.1k + 0.8)
Remove unnecessary parentheses
+ 0.2k-1.4+2=0.1k + 0.8
We move all terms containing k to the left and all other terms to the right.
+ 0.2k-0.1k=0.8+1.4-2
We simplify left and right side of the equation.
+ 0.1k=0.2
We divide both sides of the equation by 0.1 to get k.
k=2
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