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5(4k+14)=10k-2(k-7)
We simplify the equation to the form, which is simple to understand
5(4k+14)=10k-2(k-7)
Reorder the terms in parentheses
+(+20k+70)=10k-2*(k-7)
Remove unnecessary parentheses
+20k+70=+10k-2+*(+k-7+)
Reorder the terms in parentheses
+20k+70=10k+(-2k+14)
Remove unnecessary parentheses
+20k+70=+10k-2k+14
We move all terms containing k to the left and all other terms to the right.
+20k-10k+2k=+14-70
We simplify left and right side of the equation.
+12k=-56
We divide both sides of the equation by 12 to get k.
k=-4.6666666666667
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