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-6(k-7)-2(-4k+6)=7k+5k
We simplify the equation to the form, which is simple to understand
-6(k-7)-2(-4k+6)=7k+5k
Reorder the terms in parentheses
+(-6k+42)-2*(-4k+6)=7k+5k
Remove unnecessary parentheses
-6k+42-2+*(-4k+6+)=+7k+5k
Reorder the terms in parentheses
-6k+42+(+8k-12)=7k+5k
Remove unnecessary parentheses
-6k+42+8k-12=+7k+5k
We move all terms containing k to the left and all other terms to the right.
-6k+8k-7k-5k=-42+12
We simplify left and right side of the equation.
-10k=-30
We divide both sides of the equation by -10 to get k.
k=3
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