Questions: Solve for V. 4V/7=8 Simplify your answer as much as possible.

Transcript text: Solve for $V$. \[ \frac{4 V}{7}=8 \] Simplify your answer as much as possible.

Solution

Solution Steps

To solve for $ V $ in the equation $\frac{4V}{7} = 8$, we need to isolate $ V $. This can be done by multiplying both sides of the equation by 7 to eliminate the fraction, and then dividing by 4 to solve for $ V $.

Step 1: Eliminate the Fraction

To solve the equation $\frac{4V}{7} = 8$, we first eliminate the fraction by multiplying both sides by 7:

\[ 4V = 8 \times 7 \]

Step 2: Simplify the Right Side

Calculate the right side of the equation:

\[ 4V = 56 \]

Step 3: Solve for $ V $

Divide both sides by 4 to isolate $ V $:

\[ V = \frac{56}{4} \]

Step 4: Simplify the Expression

Simplify the expression to find the value of $ V $:

\[ V = 14 \]

Final Answer

$\boxed{V = 14}$

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