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5(k+2)+7(-2-5)+9(4-k)=0
We simplify the equation to the form, which is simple to understand
5(k+2)+7(-2-5)+9(4-k)=0
Simplifying terms in parentheses
5*(k+2)+7*(-7)+9*(4-k)=0
Reorder the terms in parentheses
+(+5k+10)+7*(-7)+9*(4-k)=0
Remove unnecessary parentheses
+5k+10+7+*(-7+)+9+*(+4-k+)=0
Reorder the terms in parentheses
+5k+10+(-49)+9*(4-k)=0
Remove unnecessary parentheses
+5k+10-49+9+*(+4-k+)=0
Reorder the terms in parentheses
+5k+10-49+(+36-9k)=0
Remove unnecessary parentheses
+5k+10-49+36-9k=0
We move all terms containing k to the left and all other terms to the right.
+5k-9k=0-10+49-36
We simplify left and right side of the equation.
-4k=+3
We divide both sides of the equation by -4 to get k.
k=-0.75
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