Answer:
r ≤ -1
Explanation:
Given in the question
3r+2(12r+7) ≤ 5r-8
It can be solve by Simplifying and Reordering the terms
3r + 2(12r) + 2(7) ≤ 5r - 8
3r + 24r + 14 ≤ 5r - 8
27r + 14 ≤ 5r - 8
27r - 5r +14 + 8 ≤ 0
22r + 22 ≤ 0
22r ≤ -22
Move term containing r to the left, all term to the right.
r ≤ -22/22
simplifying
r ≤ -1
all negative integers which are smaller than or equal to -1