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What is the solution to the equation 3.6m − 2.7 = −1.8m?

Group of answer choices

m = 1.5

m = 0.5

m = 1.25

m = 0.25

1 answer

To solve the equation \( 3.6m - 2.7 = -1.8m \), we can follow these steps:

  1. Add \( 1.8m \) to both sides to get all terms involving \( m \) on one side:

    \[ 3.6m + 1.8m - 2.7 = 0 \]

    This simplifies to:

    \[ 5.4m - 2.7 = 0 \]

  2. Add \( 2.7 \) to both sides:

    \[ 5.4m = 2.7 \]

  3. Divide both sides by \( 5.4 \):

    \[ m = \frac{2.7}{5.4} \]

    This simplifies to:

    \[ m = 0.5 \]

Thus, the solution to the equation is \( m = 0.5 \).

So, the correct answer from the choices given is:

m = 0.5.