High School

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------------------------------------------------ What is the value of \( f \) in the equation \( 4(f + 3) = 62 \)?

Answer :

Step-by-step explanation:

4f+12=62

4f=62-12

4f=50

f=50/4

f=12.5

Final answer:

The equation 4(f+3)=62 is solved by isolating 'f' through division and subtraction. The final value of 'f' is 12.5.

Explanation:

To solve the equation 4(f+3)=62 for the value of f, we need to follow a few steps of algebra:

  1. First, we divide both sides of the equation by 4 to isolate the term with f. This gives us f + 3 = 62 / 4.
  2. We then simplify the right side of the equation, which results in f + 3 = 15.5.
  3. To solve for f, we subtract 3 from both sides of the equation, leading to f = 15.5 - 3.
  4. Finally, we calculate the value of f, which is f = 12.5.

The value of f in the equation 4(f+3)=62 is 12.5.