To solve the equation \(8(2m + 3) = 120\) using inverse operations, let's break it down step by step.
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Distribute or simplify the equation.
First, divide both sides of the equation by 8 to isolate the term with \(m\).\[ 2m + 3 = \frac{120}{8} \]
Simplifying the right-hand side, we get:
\[ 2m + 3 = 15 \]
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Subtract 3 from both sides.
Next, we will subtract 3 from both sides to further isolate the term with \(m\).\[ 2m = 15 - 3 \]
Simplifying gives us:
\[ 2m = 12 \]
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Divide by 2.
Finally, divide both sides by 2 to solve for \(m\):\[ m = \frac{12}{2} \]
Simplifying this gives:
\[ m = 6 \]
The solution to the equation \(8(2m + 3) = 120\) is \(m = 6\).
However, as I don't have the ability to utilize a sketch pad or create visual representations, I encourage you to sketch the work out as:
- Start with the original equation.
- Show each step with arrows indicating the operations performed, such as division and subtraction.
- Conclude with the final answer \(m = 6\).
If you have access to graphing tools or sketching software, you can illustrate the steps as outlined above to visualize the solution process!