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-5-\left(a+10\right)=1
The opposite of -10 is 10.
-5-a-10=1
To find the opposite of a+10, find the opposite of each term.
-15-a=1
Subtract 10 from -5 to get -15.
-a=1+15
Add 15 to both sides.
-a=16
Add 1 and 15 to get 16.
a=-16
Multiply both sides by -1.