as you should already know, an absolute value expression, is in effect a piece-wise expression, since it has a ± versions.
![\bf \cfrac{|-2-2r|}{3}=4\implies \begin{cases} \cfrac{+(-2-2r)}{3}=4\\\\ \cfrac{-(-2-2r)}{3}=4 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-2-2r}{3}=4\implies -2-2r=12\implies -2-12=2r\implies -14=2r \\\\\\ \cfrac{-14}{2}=r\implies \boxed{-7=r}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-(-2-2r)}{3}=4\implies \cfrac{-2-2r}{3}=-4\implies -2-2r=-12 \\\\\\ -2+12=2r\implies 10=2r\implies \cfrac{10}{2}=r\implies \boxed{5=r}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Ccfrac%7B%7C-2-2r%7C%7D%7B3%7D%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%5Ccfrac%7B%2B%28-2-2r%29%7D%7B3%7D%3D4%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%20%5Cend%7Bcases%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D4%5Cimplies%20-2-2r%3D12%5Cimplies%20-2-12%3D2r%5Cimplies%20-14%3D2r%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-14%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B-7%3Dr%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%5Cimplies%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D-4%5Cimplies%20-2-2r%3D-12%20%5C%5C%5C%5C%5C%5C%20-2%2B12%3D2r%5Cimplies%2010%3D2r%5Cimplies%20%5Ccfrac%7B10%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B5%3Dr%7D%20)
Answer: The girls walked 
miles.
Step-by-step explanation:
Given: Distance from home to school = 
mile
Distance from school to store = 
mile
Distance from store to home = 
miles
Total distance = 
= 
[L.C.M.(10,8,5)=40]
= 
= 
= 
miles
Hence, The girls walked miles.
Answer:
true
Step-by-step explanation:
the bigger the number of a negative integer, the smaller the value become
Answer:
(1, -5)
Step-by-step explanation:
Solve the system by setting the equations equal to each other, and solving for x:
-7x + 2 = 9x - 14
2 = 16x - 14
16 = 16x
1 = x
So, the x coordinate of the solution will be 1.
Plug in 1 as x into one of the equations, and solve for y
y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5
So, the y coordinate is -5.
The ordered pair solution is (1, -5)
