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-5(8+8k)-10=-10(1+5k)
We simplify the equation to the form, which is simple to understand
-5(8+8k)-10=-10(1+5k)
Reorder the terms in parentheses
+(-40-40k)-10=-10*(1+5k)
Remove unnecessary parentheses
-40-40k-10=-10+*(+1+5k+)
Reorder the terms in parentheses
-40-40k-10=+(-10-50k)
Remove unnecessary parentheses
-40-40k-10=-10-50k
We move all terms containing k to the left and all other terms to the right.
-40k+50k=-10+40+10
We simplify left and right side of the equation.
+10k=+40
We divide both sides of the equation by 10 to get k.
k=4
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