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-58=-5(-8k+3)-7(k-8)
We simplify the equation to the form, which is simple to understand
-58=-5(-8k+3)-7(k-8)
Reorder the terms in parentheses
-58=+(+40k-15)-7*(k-8)
Remove unnecessary parentheses
-58=+40k-15-7+*(+k-8+)
Reorder the terms in parentheses
-58=+40k-15+(-7k+56)
Remove unnecessary parentheses
-58=+40k-15-7k+56
We move all terms containing k to the left and all other terms to the right.
-40k+7k=-15+56+58
We simplify left and right side of the equation.
-33k=+99
We divide both sides of the equation by -33 to get k.
k=-3
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