6p+46=4p−83

Sure, let's solve the equation step by step:

1. The equation is 6p + 46 = 4p - 83.

2. First, we need to get all the terms with 'p' on one side of the equation and the constants on the other side. We can do this by subtracting 4p from both sides of the equation. This gives us:

   6p - 4p = -83 - 46.

3. Simplifying both sides of the equation gives us:

   2p = -129.

4. Finally, we can solve for 'p' by dividing both sides of the equation by 2. This gives us:

   p = -129 / 2.

5. Simplifying the right side of the equation gives us the final solution:

   p = -64.5.