Final answer:
To find the value of f in the equation 7f + 6 = 5f + 22, subtract 5f from both sides, simplify the equation, subtract 6 from both sides, simplify the equation, divide both sides by 2 to isolate f, simplify the equation, and find the value of f as 8.
Step-by-step explanation:
To find the value of f in the equation 7f + 6 = 5f + 22, we need to isolate f on one side of the equation.
Step 1: Start by subtracting 5f from both sides of the equation: 7f - 5f + 6 = 5f - 5f + 22
Step 2: Simplify the equation: 2f + 6 = 22
Step 3: Subtract 6 from both sides: 2f + 6 - 6 = 22 - 6
Step 4: Simplify the equation: 2f = 16
Step 5: Divide both sides by 2 to isolate f: 2f/2 = 16/2
Step 6: Simplify the equation: f = 8
Therefore, the value of f in the equation is 8.