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5(k+2)=8(k-7)
We simplify the equation to the form, which is simple to understand
5(k+2)=8(k-7)
Reorder the terms in parentheses
+(+5k+10)=8*(k-7)
Remove unnecessary parentheses
+5k+10=+8+*(+k-7+)
Reorder the terms in parentheses
+5k+10=+(+8k-56)
Remove unnecessary parentheses
+5k+10=+8k-56
We move all terms containing k to the left and all other terms to the right.
+5k-8k=-56-10
We simplify left and right side of the equation.
-3k=-66
We divide both sides of the equation by -3 to get k.
k=22
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