Question

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solve the equation for v.
\\(\frac{v}{8} - 4 = -12\\)
\\(\bigcirc\\) \\(v = -128\\)
\\(\bigcirc\\) \\(v = -64\\)
\\(\bigcirc\\) \\(v = 16\\)
\\(\bigcirc\\) \\(v = 92\\)

Explanation:

Step1: Add 4 to both sides

To isolate the term with \( v \), we add 4 to both sides of the equation \(\frac{v}{8}-4 = -12\). This gives us \(\frac{v}{8}-4 + 4=-12 + 4\), which simplifies to \(\frac{v}{8}=-8\).

Step2: Multiply both sides by 8

To solve for \( v \), we multiply both sides of the equation \(\frac{v}{8}=-8\) by 8. So, \(v=-8\times8\), which gives \(v = - 64\).

Answer:

\(v=-64\) (corresponding to the option \(v = - 64\))