Final answer:
To solve the given equations, you need to manipulate the equations so that the variable is isolated on one side. Once you have the variable isolated, perform any necessary operations to solve for the variable.
Step-by-step explanation:
- For the equation -v + 3v = 14, combine like terms to get 2v = 14. Divide both sides by 2 to solve for v, which gives v = 7.
- For the equation -7 = -4 - v + 3, combine like terms to get -4 - v - 3 = -7. Simplify further to get -v = -7, then multiply both sides by -1 to solve for v, which gives v = 7.
- For the equation 12 = -3k - 7, add 7 to both sides to get 12 + 7 = -3k. Simplify further to get 19 = -3k, then divide both sides by -3 to solve for k, which gives k = -19/3.
- For the equation B + 4 - 8 = 2, combine like terms to get B - 4 = 2. Add 4 to both sides to solve for B, which gives B = 6.