Answer:
n = -4
Step-by-step explanation:
−5(n+3)=6(n+4)+5
Step 1: Simplify both sides of the equation.
−5(n+3)=6(n+4)+5
(−5)(n)+(−5)(3)=(6)(n)+(6)(4)+5(Distribute)
−5n+−15=6n+24+5
−5n−15=(6n)+(24+5)(Combine Like Terms)
−5n−15=6n+29
−5n−15=6n+29
Step 2: Subtract 6n from both sides.
−5n−15−6n=6n+29−6n
−11n−15=29
Step 3: Add 15 to both sides.
−11n−15+15=29+15
−11n=44
Step 4: Divide both sides by -11.
−11n
−11
=
44
−11
n=−4
