What is the solution to the equation 9w + 4 + 7w + 53w – 2?

To find the solution to the equation 9w + 4 + 7w + 53w – 2 = 0, we first need to combine like terms. Here’s how we can solve it step by step:

1. Combine like terms: Look for terms that contain the variable w and constants separately.
   • The w terms are: 9w, 7w, and 53w. Adding these together:
     • 9w + 7w + 53w = (9 + 7 + 53)w = 69w
   • The constant terms are: 4 and -2. Adding these:
     • 4 – 2 = 2
2. Rewrite the equation: After combining like terms, we can rewrite the equation as follows:
   • 69w + 2 = 0
3. Isolate the variable: To find w, we need to isolate it:
   • Subtract 2 from both sides:
     • 69w = -2
   • Now, divide both sides by 69:
     • w = -2 / 69

The solution simplifies to:

w = -2/69

You can also express this in decimal form, which is approximately:

w ≈ -0.029

Thus, the solution to the equation is w = -2/69.