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S Linear Equations and Inequalities Solve for \( v \). \( 8(v+2)=40 \) Simplify your answer as much as possible.

Ask by Reeves Williams. in the United States
Feb 20,2025

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Answer

\( v=3 \)

Solution

Solve the equation \( 8(v+2)=40 \). Solve the equation by following steps: - step0: Solve for \(v\): \(8\left(v+2\right)=40\) - step1: Divide both sides: \(\frac{8\left(v+2\right)}{8}=\frac{40}{8}\) - step2: Divide the numbers: \(v+2=5\) - step3: Move the constant to the right side: \(v=5-2\) - step4: Subtract the numbers: \(v=3\) The solution to the equation \(8(v+2)=40\) is \(v=3\).

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Simplify this solution

Beyond the Answer

First, let's distribute the 8 in the equation \(8(v + 2) = 40\). This gives us \(8v + 16 = 40\). Now, to isolate \(v\), we can subtract 16 from both sides: \(8v = 40 - 16\), which simplifies to \(8v = 24\). Finally, divide both sides by 8 to solve for \(v\): \(v = \frac{24}{8} = 3\). So, the solution is \(v = 3\).

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