Questions: Quizzes Solving Multi-Step Equations Assess Solving Multi-Step Equations / Started: Sep 1 at 7:12pm Quiz Instructions Solve each equation: Question 8 SOLVE the equation below. 7-14 m=2 m-5 m=-4/3 m=-3/4 m=4/3 m=3/4

Quizzes Solving Multi-Step Equations Assess Solving Multi-Step Equations / Started: Sep 1 at 7:12pm Quiz Instructions Solve each equation: Question 8 SOLVE the equation below. 7-14 m=2 m-5 m=-4/3 m=-3/4 m=4/3 m=3/4
Transcript text: Quizzes Solving Multi-Step Equations Assess Solving Multi-Step Equations / Started: Sep 1 at 7:12pm Quiz Instructions Solve each equation: Question 8 SOLVE the equation below. \[ 7-14 m=2 m-5 \] $m=-\frac{4}{3}$ $m=-\frac{3}{4}$ $m=\frac{4}{3}$ $m=\frac{3}{4}$ Previous
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Solution

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Solution Steps

To solve the equation \(7 - 14m = 2m - 5\), we need to isolate the variable \(m\). This involves moving all terms containing \(m\) to one side of the equation and constant terms to the other side. Then, we can solve for \(m\) by simplifying the equation.

Step 1: Move all terms containing \( m \) to one side

Starting with the equation: \[ 7 - 14m = 2m - 5 \] we move all terms containing \( m \) to one side by adding \( 14m \) to both sides: \[ 7 = 16m - 5 \]

Step 2: Move constant terms to the other side

Next, we move the constant term on the right side to the left side by adding 5 to both sides: \[ 7 + 5 = 16m \] which simplifies to: \[ 12 = 16m \]

Step 3: Solve for \( m \)

To isolate \( m \), we divide both sides by 16: \[ m = \frac{12}{16} = \frac{3}{4} \]

Final Answer

\[ \boxed{m = \frac{3}{4}} \]

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