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2(2k+3)=3(k-4)
We simplify the equation to the form, which is simple to understand
2(2k+3)=3(k-4)
Reorder the terms in parentheses
+(+4k+6)=3*(k-4)
Remove unnecessary parentheses
+4k+6=+3+*(+k-4+)
Reorder the terms in parentheses
+4k+6=+(+3k-12)
Remove unnecessary parentheses
+4k+6=+3k-12
We move all terms containing k to the left and all other terms to the right.
+4k-3k=-12-6
We simplify left and right side of the equation.
+1k=-18
We divide both sides of the equation by 1 to get k.
k=-18
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