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Now, Correctly select the order of the steps to solve this equation.

1/3 (6x-9)=-33

responses
add 1/3 to both sides of the equation.
Subtract 1/3 from both sides of the equation.
Divide by 1/3 on both sides of the equation.
Multiply by 1/3 on both sides of the equation.
Subtract 6 from both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.
Divide by 6 on both sides of the equation.
Multiply by 6 both sides of the equation.

1 answer

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \), follow these steps in the correct order:

  1. Multiply both sides of the equation by 3 (to eliminate the fraction): \[ 6x - 9 = -99 \]

  2. Add 9 to both sides of the equation: \[ 6x = -90 \]

  3. Divide by 6 on both sides of the equation: \[ x = -15 \]

So the order of the steps would be:

  1. Multiply by 3 on both sides of the equation.
  2. Add 9 to both sides of the equation.
  3. Divide by 6 on both sides of the equation.