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n+5/-16=-1

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2 Answers

n + (5/-16) = -1   original equation
 
n  - (5/16) = -1   took the negative from the denominator,  moved           the numerator, no change of value
 
n = -1 + 5/16   added 5/16 to both sides of equation
 
n = -(16/16) + 5/16    changed -1 to -(16/16),  equal value
 
n = 5/16 - (16/16)   reversed the order
 
n = -(11/16)   did the arithmetic
so you have,
 
n + 5/-16 = -1  OR (n + 5)/-16 = -1 ??
 
i am guessing it's n + 5/-16 = -1    (if not, see below)
 
move the negative sign up first to get
 
n + -5/16 = -1, which simplifies to,
 
n - 5/16 = -1
 
multiply the whole equation (each term) by 16 to get:
 
16n - 5 = -16    this removes the fraction.
 
add 5 to both sides,  16n = -11
 
divide by 16 on both sides to get, n = -11/16
 
your answer is n = -11/16
 
(or if you really meant (n + 5)/-16 = -1....   multiply by -16 on both sides to get n+5 = 16, n = 11)