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Solve for m in the equation 2m + 6 = 18.

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To solve the equation \(2m + 6 = 18\), the first step is to isolate the term containing \(m\). This can be done by subtracting 6 from both sides of the equation. Here’s how that looks:

\[

2m + 6 - 6 = 18 - 6

\]

This simplifies to:

\[

2m = 12

\]

Next, to solve for \(m\), you divide both sides of the equation by 2:

\[

\frac{2m}{2} = \frac{12}{2}

\]

This gives:

\[

m = 6

\]

Thus, the correct answer is 6. This value for \(m\) satisfies the original equation when you substitute it back in, demonstrating that the solution is valid. If you were to check the value of \(m\) in the context of the equation:

\[

2(6) + 6 = 18

\]

This simplifies to:

\[

12 + 6 = 18

\]

Confirming that the equation holds true. Therefore, 6 is indeed the correct solution to the equation \(2m + 6 = 18\

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