Solve for f.9 − 3f = –f − 1
Solution
Step 1: First, we need to get all the terms with 'f' on one side of the equation. So, add 3f to both sides of the equation:
9 - 3f + 3f = -f - 1 + 3f
This simplifies to:
9 = 2f - 1
Step 2: Next, we need to isolate 'f' on one side of the equation. So, add 1 to both sides of the equation:
9 + 1 = 2f - 1 + 1
This simplifies to:
10 = 2f
Step 3: Finally, to solve for 'f', divide both sides of the equation by 2:
10 / 2 = 2f / 2
This simplifies to:
f = 5
So, the solution to the equation 9 - 3f = -f - 1 is f = 5.
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