solve for v

Question

4v+8-2(-6v-2) = 4(v-1)

Answer 1

To solve for v, we will distribute and simplify both sides of the equation.

Starting with the left side:
4v + 8 - 2(-6v - 2)
= 4v + 8 + 12v + 4
= (4v + 12v) + (8 + 4)
= 16v + 12

Now, simplifying the right side:
4(v - 1)
= 4v - 4

Setting the left side equal to the right side:
16v + 12 = 4v - 4

To solve the equation, we will isolate v on one side of the equation.

Subtracting 4v from both sides:
16v - 4v + 12 = -4

Combining like terms:
12v + 12 = -4

Subtracting 12 from both sides:
12v = -4 - 12
12v = -16

Finally, dividing both sides by 12:
v = -16/12
v = -4/3

Therefore, v = -4/3.