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k/6 + 8 = 5, show work and explain. Solving two step equations

Sagot :

Answer:

k = -18

Step-by-step explanation:

When solving equations, the most important rule to keep in mind is that what you do to one side, you have to do to the other to keep the equation true.

We have: k/6 + 8 = 5

Our goal is to isolate the variable k.

This means we want to move all the numbers to one side, and leave k alone on the other side.

When solving this, you should look at the operation and do the inverse of that. (Subtract the value if its addition, add if its subtraction, multiply if its division, and divide if its multiplication)

k/6 + 8 = 5

We can start by subtracting 8 from both sides to cancel out the 8. (Reverse the addition)

k/6 + 8 - 8 = 5 - 8

k/6  = -3

Next, we can multiply both sides by 6 to isolate k. (Reverse the division)

k/6 * 6 = -3 * 6

k = -18

With that, we have our final answer.

Let me know if you have any questions!