4n -6 = 10n
Simplify.

n = -1

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

simplify.

(add the numbers)

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

simplify. (again)

(combine like terms)                                          (combine like terms)

4n − 10n = 10n + 6 − 10n                                   −6n = 10n + 6 − 10n

−6n = 6

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

simplify. (again)

(cancel terms that are in both the numerator and denominator)

n = 6/−6

(divide the numbers)

n = 6/−6

n = 1

n= -1

Step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!