Question

-5(n + 3) = 6(n +4) + 5

Answer 1

n = -4

Explanation:

-5(n + 3) = 6(n +4) + 5

First distribute by multiplying:

-5(n + 3) = 6(n +4) + 5 into:

-5n-15=6n+24+5

Combine Like Terms (CLT):

-5n-15=6n+24+5

-5n-15=6n+29

Inverse operation:

-5n-15=6n+29

+15 +15

-5n=6n+44

-11n=44

_______

-11 -11

n = -4

Answer 2

n = -4

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