k=2c-9d/8

To solve the equation k = 2c - 9d/8, we can follow these steps:

Step 1: Start with the equation k = 2c - 9d/8.

Step 2: If our goal is to solve for one of the variables (in this case, either c or d), we should rearrange the equation so that the variable we want to solve for is isolated on one side of the equation.

Step 3: In this case, we are solving for neither c nor d, but for k. So, we don't need to rearrange the equation itself.

Step 4: However, if we have specific values for c and d, we can substitute them into the equation to find the value of k.

For example, let's say c = 4 and d = 6. Substituting these values into the equation, we get:

k = 2(4) - 9(6)/8

Step 5: Next, we can simplify the equation using the order of operations (PEMDAS/BODMAS). In PEMDAS/BODMAS, we perform the operations inside parentheses/brackets first, followed by exponents, multiplication/division (from left to right), and finally addition/subtraction (from left to right).

k = 2(4) - 54/8

Step 6: Continuing the simplification, we perform the multiplication first:

k = 8 - 54/8

Step 7: Next, we perform the division:

k = 8 - 6.75

Step 8: Finally, we subtract to find the value of k:

k = 1.25

So, when c = 4 and d = 6, k = 1.25.