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3(4k+1)=10k-2(k-7)
We simplify the equation to the form, which is simple to understand
3(4k+1)=10k-2(k-7)
Reorder the terms in parentheses
+(+12k+3)=10k-2*(k-7)
Remove unnecessary parentheses
+12k+3=+10k-2+*(+k-7+)
Reorder the terms in parentheses
+12k+3=10k+(-2k+14)
Remove unnecessary parentheses
+12k+3=+10k-2k+14
We move all terms containing k to the left and all other terms to the right.
+12k-10k+2k=+14-3
We simplify left and right side of the equation.
+4k=+11
We divide both sides of the equation by 4 to get k.
k=2.75
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