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11k+5k=9(k-5)+2(-10+10k)
We simplify the equation to the form, which is simple to understand
11k+5k=9(k-5)+2(-10+10k)
Reorder the terms in parentheses
11k+5k=+(+9k-45)+2*(-10+10k)
Remove unnecessary parentheses
+11k+5k=+9k-45+2+*(-10+10k+)
Reorder the terms in parentheses
11k+5k=+9k-45+(-20+20k)
Remove unnecessary parentheses
+11k+5k=+9k-45-20+20k
We move all terms containing k to the left and all other terms to the right.
+11k+5k-9k-20k=-45-20
We simplify left and right side of the equation.
-13k=-65
We divide both sides of the equation by -13 to get k.
k=5
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