Please help I have a lot of homework and I just wanted this checked thank you so much I will mark brainliest I just need 13,14,15 checked thanks again

13. 0

14. 4

15. 0

*12. 10

Step-by-step explanation:

Given values of each variable:

n = 2

q = -1.5

r = -3

v = -8

w = 4.5

x = 4

Since all variables' values are given, the process of simplification is simple:

13:

|-2x + 5n| + (n-x)             First, plug in all known values.

|-2(4) + 5(2)| + (2 - 4)      Simplify the expressions in each of the parentheses.

|-8 + 10| + (-2)                 Add -- Addition of a negative is subtraction.

|2| - 2                              The absolute value of 2 is 2.

2 - 2                                Subtract.

0

14:

4w - |2r + v|                    First, plug in all known values.

4(4.5) - |2(-3) + (-8)|        Simplify the expressions in each of the parentheses.

18 - |-6 - 8|                      Subtract the values in the parentheses.

18 - |-14|                          The absolute value of -14 is 14.

18 - 14                             Subtract.

4

15:

3|w - n| - 5|q - r|             First, distribute the 3 and 5.

|3w - 3n| - |5q - 5r|        Plug in all known values.

|3(4.5) - 3(2)| - |5(-1.5) - 5(-3)| Distribute--Subtraction of a negative is addition.

|13.5 - 6| - |-7.5 + 15|      Simplify the expressions in each of the parentheses.

|7.5| - |7.5|                      The absolute value of 7.5 is 7.5.

7.5 - 7.5                         Subtract.

0

8. - 11. are correct. However, 12. is 10 because you need to distribute before simplifying what's in the parentheses.