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Simplifying -7(-5v + -1) = 7 + 3v Reorder the terms: -7(-1 + -5v) = 7 + 3v (-1 * -7 + -5v * -7) = 7 + 3v (7 + 35v) = 7 + 3v Add '-7' to each side of the equation. 7 + -7 + 35v = 7 + -7 + 3v Combine like terms: 7 + -7 = 0 0 + 35v = 7 + -7 + 3v 35v = 7 + -7 + 3v Combine like terms: 7 + -7 = 0 35v = 0 + 3v 35v = 3v Solving 35v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 35v + -3v = 3v + -3v Combine like terms: 35v + -3v = 32v 32v = 3v + -3v Combine like terms: 3v + -3v = 0 32v = 0 Divide each side by '32'. v = 0 Simplifying v = 0
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