To solve the equation for w, we will isolate the variable on one side of the equation. Here's the step-by-step solution:
w / (1.3 - 4.9) = 7.5
First, simplify the expression inside the parentheses:
w / (-3.6) = 7.5
Next, multiply both sides of the equation by -3.6 to eliminate the fraction:
(-3.6) * (w / -3.6) = (-3.6) * 7.5
This simplifies to:
w = -3.6 * 7.5
Now, calculate the right-hand side of the equation:
w = -27
Therefore, the solution to the equation is:
w = -27