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What steps are used to solve the equation?

6f=48

Complete the steps.

(3 points)
First,  on both sides of the equation.

Next, simplify the equation to determine that the solution to the equation is .

Check the solution by substituting  for f and simplifying.

1 answer

To solve the equation \( 6f = 48 \), follow these steps:

  1. First, divide both sides of the equation by 6: \[ \frac{6f}{6} = \frac{48}{6} \]

  2. Next, simplify the equation to determine that the solution to the equation is: \[ f = 8 \]

  3. Check the solution by substituting 8 for f and simplifying: \[ 6(8) = 48 \] Simplifying the left side gives: \[ 48 = 48 \] This shows that our solution is correct.

In conclusion:

  • First: Divide both sides of the equation by 6.
  • The solution to the equation is: \( f = 8 \).
  • Check: Substituting 8 for \( f \) confirms that \( 6f = 48 \).