Answer: v = -4
Step-by-step explanation:
Simplifying
4v + -7 = 5 + 7v
Reorder the terms:
-7 + 4v = 5 + 7v
Solving
-7 + 4v = 5 + 7v
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-7v' to each side of the equation.
-7 + 4v + -7v = 5 + 7v + -7v
Combine like terms: 4v + -7v = -3v
-7 + -3v = 5 + 7v + -7v
Combine like terms: 7v + -7v = 0
-7 + -3v = 5 + 0
-7 + -3v = 5
Add '7' to each side of the equation.
-7 + 7 + -3v = 5 + 7
Combine like terms: -7 + 7 = 0
0 + -3v = 5 + 7
-3v = 5 + 7
Combine like terms: 5 + 7 = 12
-3v = 12
Divide each side by '-3'.
v = -4
Simplifying
v = -4
