To solve the equation \(-3 + \frac{v}{4} = -7\), follow these steps:
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Add 3 to both sides of the equation to isolate the term with \(v\): \[ \frac{v}{4} = -7 + 3 \] \[ \frac{v}{4} = -4 \]
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Multiply both sides by 4 to solve for \(v\): \[ v = -4 \times 4 \] \[ v = -16 \]
Thus, the solution is: \[ \boxed{-16} \]