Answer:
v = 3
Step-by-step explanation:
Solve for v:
-6 v - 16 = -2 (8 v - 7)
Expand out terms of the right hand side:
-6 v - 16 = 14 - 16 v
Add 16 v to both sides:
16 v - 6 v - 16 = (16 v - 16 v) + 14
16 v - 16 v = 0:
16 v - 6 v - 16 = 14
16 v - 6 v = 10 v:
10 v - 16 = 14
Add 16 to both sides:
10 v + (16 - 16) = 16 + 14
16 - 16 = 0:
10 v = 14 + 16
14 + 16 = 30:
10 v = 30
Divide both sides of 10 v = 30 by 10:
(10 v)/10 = 30/10
10/10 = 1:
v = 30/10
The gcd of 30 and 10 is 10, so 30/10 = (10×3)/(10×1) = 10/10×3 = 3:
Answer: v = 3
