SOLUTION: -(8n-2)=3+10(1-3n) i do not get what to do with the negative sign on the outside of the parenthesis

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Question 159516This question is from textbook lgebra
: -(8n-2)=3+10(1-3n)


i do not get what to do with the negative sign on the outside of the parenthesis This question is from textbook lgebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

-(8n-2)=3+10(1-3n)
.
You could replace the - (minus sign) with a -1 (negative one).
.
-1(8n-2)=3+10(1-3n)
Now, you can distribute the -1 to each term inside the parenthesis:
(-1)(8n) - (-1)(2) = 3+10(1-3n)
-8n - (-2) = 3 + (10)(1) - (10)(3n)
-8n + 2 = 3 + 10 - 30n
-8n + 2 = 13 - 30n
-8n = 11 - 30n
22n = 11
n = 11/22