I am in need of assistance with the following problem: v-4(4-v) = -2(2v-1)
I don't want an answer I will work the problem myself I just need some one to assist me with the detailed rule or formula to work the problem. I have been on multiple sites trying to find something to assist me but I have been unsuccessful. I really need help with this. If anyone is able to assist me I would greatly appeciate it. God Bless
Multiply out the expressions on both sides, and then combine similar terms (constants and terms containing "v") on separate sides of the equation.
First step:
v - 16 + 4v = -4v +2
Second step:
9v = 18
Final step:
Divide both sides of the equation by 9
To solve the equation v - 4(4 - v) = -2(2v - 1), you can follow these steps:
Step 1: Simplify the expressions on both sides of the equation.
- Start by applying the distributive property on the left side. Multiply -4 with each term inside the parentheses:
v - 4 * 4 + 4 * v = -2 * 2v + (-2 * -1)
- Simplify each side of the equation:
v - 16 + 4v = -4v + 2
Step 2: Combine similar terms on each side of the equation.
- Combine the terms containing "v" on the left side:
v + 4v = -4v + 2
5v = -4v + 2
Step 3: Move all terms containing "v" to one side of the equation.
- Add 4v to both sides of the equation to eliminate the -4v term on the right side:
5v + 4v = -4v + 4v + 2
9v = 2
Step 4: Isolate the variable "v" by moving all other terms away from it.
- Subtract 4v from both sides of the equation to eliminate the -4v term on the right side:
9v - 4v = 2 - 4v
5v = 2
Step 5: Solve for "v" by dividing both sides of the equation by the coefficient of "v".
- Divide both sides of the equation by 5:
(5v)/5 = 2/5
v = 2/5
So, the solution to the equation v - 4(4 - v) = -2(2v - 1) is v = 2/5.