Question

100 POINTS!!!!

SHOW YOUR WORK PLEASE I WANT TO UNDERSTAND IT

7x + 2 = 10(x + 2) + 9

7x - 3(7 + 2x) = -19 + x

8b + 22 = -(-6b - 4) -4b

8p - (3p +2) = 7p + 11

-3n + 2(n + 5) = 3(-4n + 7)

-(-7 - 3x) = 3(x + 5) - 8

-4n + 3 = -3n - (n - 1)

1 - r = -(r - 1)

3x - (7 + 8x) = -7 - 5x

-3(-2m - 1) = 11 + 6m

Answer 1

1) x = -9

2) DNE

3) b = -3

4) p = -13/2

5) n = 1

6) x equals any number

7) DNE

8) r equals any number

9) x equals any number

10) DNE

Explanation:

1)

7x + 2 = 10(x + 2) + 9

7x + 2 = 10x + 20 + 9

7x + 2 = 10x + 29

-3x = 27

x = -9

2)

7x - 3(7 + 2x) = -19 + x

7x -21 - 6x = -19 + x

x - 21 = x - 19

DNE

3)

8b + 22 = -(-6b - 4) -4b

8b + 22 = 6b + 4 - 4b

8b + 22 = 2b + 4

6b = -18

b = -3

4)

8p - (3p +2) = 7p + 11

8p - 3p - 2 = 7p + 11

5p - 2 = 7p + 11

-2p = 13

p = -13/2

5)

-3n + 2(n + 5) = 3(-4n + 7)

-3n + 2n + 10 = -12n + 21

-n + 10 = -12n + 21

11n = 11

n = 1

6)

-(-7 - 3x) = 3(x + 5) - 8

7 + 3x = 3x + 15 - 8

7 + 3x = 3x + 7

x equals any number

7)

-4n + 3 = -3n - (n - 1)

-4n + 3 = -3n - n + 1

-4n + 3 = -4n + 1

DNE

8)

1 - r = -(r - 1)

1 - r = -r + 1

r equals any number

9)

3x - (7 + 8x) = -7 - 5x

3x - 7 - 8x = -7 - 5x

-5x - 7 = -7 - 5x

x equals any number

10)

-3(-2m - 1) = 11 + 6m

6m + 3 = 11 + 6m

DNE