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\( m = 0.75 \)
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Bonus Knowledge
To solve for \( m \) in the equation \( 12.6 + 4m = 9.6 + 8m \), start by rearranging the equation to get all the \( m \) terms on one side and the constant terms on the other side. 1. Subtract \( 4m \) from both sides: \[ 12.6 = 9.6 + 4m \] 2. Next, subtract \( 9.6 \) from both sides: \[ 12.6 - 9.6 = 4m \] 3. Simplifying gives: \[ 3 = 4m \] 4. Finally, divide both sides by 4: \[ m = \frac{3}{4} \] Thus, the solution is \( m = 0.75 \).