Question

Explain how u got answer pls help

D) 3-2 (s-1) = 13+6s
Answer: -1
E) 2 (n+9) = -6 (2n-5) +8
Answer: 10/7
F) 5 (4k-3) -5k = 10+2 (3k+1)
Answer: 3

Answer 1

See below

Explanation:

Better description of what you want.

D)

3 - 2(s - 1) = 13 + 6s Distribute the -2

3 -2s + 2 = 13 + 6s Combine like terms

5 - 2s = 13 + 6s Add 2s to both sides

5 - 2s + 2s = 13 + 6s + 2s

5 = 13 + 8s Subtract 13 from both sides

5 - 13 = 13 - 13 + 8s

-8 = 8s Divide both sides by 8

`(-8)/(8)` =
`(8s)/(8)`

-1 = s

E)

2(n + 9) = -6 (2n-5) + 8 Distribute the 2 nd the -6

2n + 18 = -12n + 30 + 8 Combine like terms

2n + 18 = -12n + 38 Add 12n to both sides

2n + 12n + 18 = -12n + 12n + 38

14n + 18 = 38 Subtract 18 from both sides

14n + 18 - 18 = 38 - 18

14n = 20 Divide both sides by 14

`(14n)/(14)` =
`(20)/(14)`

n =
`(20)/(14)` Divide the numerator and denominator by 2 to simplify

n =
`(10)/(7)`

F)

5(4k -3) -5k = 10 +2(3k + 1) Distribute the 5 and the 2

20k -15 - 5k = 10 +6k +2 Combine like terms

15k - 15 = 12 + 6k Subtract 6k from both sides

15k - 6k - 15 = 12 + 6k -6k

9k -15 = 12 Add 15 to both sides

9k - 15 + 15 = 12 + 15

9k = 27 Divide both sides by 9

`(9k)/(9)` =
`(27)/(9)`

k = 3