Solve for f

Question

3(6-f)-4=3f-4

Answer 1

To solve for f, we can simplify the equation step by step.

Starting with the given equation: 3(6-f) - 4 = 3f - 4

First, distribute the 3 to both terms inside the parentheses:
18 - 3f - 4 = 3f - 4

Next, combine like terms on both sides of the equation:
18 - 4 - 3f = 3f - 4

Simplify further by subtracting 18 and 4 from both sides:
-3f + 14 = 3f - 4

Now, we want to get all the f terms on one side of the equation and all the constant terms on the other side. We can do this by adding 3f to both sides:
-3f + 14 + 3f = 3f - 4 + 3f

Simplifying:
14 = 6f - 4

Next, isolate the variable f by adding 4 to both sides:
14 + 4 = 6f - 4 + 4

Simplifying further:
18 = 6f

Finally, solve for f by dividing both sides by 6:
18/6 = 6f/6

Simplifying the equation further:
3 = f

Therefore, the solution to the equation is f = 3.