Answer all questions, your combing like terms. Show ALL of you work! Thank you!! 1. -5x-13+3y-7x-12y+7

2. -3 (4x-12)

3. If x=7, 6x-282

4. If x= -2 and y=7 6x+2(y+x)

5. x-23=-80

6. 12x= -72

7. x/4 = 12

8. 3x+12=72

9. x/4 - 8= - 80

10. -4 ( 1 - 5n ) - 8n = 92

1. -12x - 9y - 6

2. -12x + 36

3. -240

4. -2

5. x = -57

6. x = -6

7. x = 48

8. x = 20

9. x = -288

10. n = 8

Step-by-step explanation:

1.

-5x - 13 + 3y - 7x - 12y + 7

-12x - 13 + 3y - 12y +  7

-12x - 6 + 3y - 12y

-12x - 6 - 9y

-12x - 9y - 6

2.

-3(4x - 12)

-3(4x) + (-3)(-12)

-12x + 36

3.

6x - 282

6(7) - 282

42 - 282

-240

4.

6x + 2(y + x)

6(-2) + 2(7 + (-2))

-12 + 2(7 - 2)

-12 + 2(5)

-12 + 10

-2

5.

x - 23 = -80

 + 23    +23

x = -57  

6.

12x = -72

/12     /12

x = -6

7.

x/4 = 12

* 4    * 4

x = 48

8.

3x + 12 = 72

    -  12  - 12

3x = 60

/3     /3

x = 20

9.

x/4 - 8 = -80

     + 8    + 8

x/4 = -72

* 4    * 4

x = -288

10.

-4(1 - 5n) - 8n = 92

-4 + (-4)(-5n) - 8n = 92

-4 + 20n - 8n = 92

-4 + 12n = 92

12n - 4 = 92

     + 4    + 4

12n = 96

/12     /12

n = 8

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.