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4k-3(4-2k)=2(k-3)+6k+2
We simplify the equation to the form, which is simple to understand
4k-3(4-2k)=2(k-3)+6k+2
Reorder the terms in parentheses
4k+(-12+6k)=2*(k-3)+6k+2
Remove unnecessary parentheses
+4k-12+6k=+2+*(+k-3+)+6k+2
Reorder the terms in parentheses
4k-12+6k=+(+2k-6)+6k+2
Remove unnecessary parentheses
+4k-12+6k=+2k-6+6k+2
We move all terms containing k to the left and all other terms to the right.
+4k+6k-2k-6k=-6+2+12
We simplify left and right side of the equation.
+2k=+8
We divide both sides of the equation by 2 to get k.
k=4
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