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4(k-1)-6=2-(3-k)
We simplify the equation to the form, which is simple to understand
4(k-1)-6=2-(3-k)
Reorder the terms in parentheses
+(+4k-4)-6=2-(3-k)
Remove unnecessary parentheses
+4k-4-6=+2-(+3-k+)
Remove unnecessary parentheses
+4k-4-6=2-3+1k
We move all terms containing k to the left and all other terms to the right.
+4k-1k=+2-3+4+6
We simplify left and right side of the equation.
+3k=+9
We divide both sides of the equation by 3 to get k.
k=3
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