First things first, we can rewrite the equation with distributions:
-2 = 7(q+ 2) + 3(2q -1) ⇒ -2 = 7q + 14 + 6q - 3
Next, we simplify:
-2 = 7q + 14 + 6q - 3 ⇒ -2 = 13q + 11
Then, we subtract 11 from both sides:
-2 = 13q + 11 ⇒ -13 = 13q
Finally, we divide by the coefficient (13):
-13 ÷ 13 = -1
Therefore, q = -1.
Answer:
q=-1
Step-by-step explanation:
First, you have to distribute 7 into (q+2) and 3 into (2q-1):
-2=7(q+2)+3(2q-1)
-2=7q+14+6q-3
Now, you can add 7q and 6q, and then 14 and -3:
-2=(7q+6q)+(14+(-3))
-2=13q+11
Move 11 to the left side of the equation by substracting both sides by 11:
-2-11=13q
-13=13q
Finally, divide both sides by 13 to isolate q on the right side:
-13/13=q
-1=q
Hope this helps!
