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Simplifying -7 + -2v = 3v + 35 Reorder the terms: -7 + -2v = 35 + 3v Solving -7 + -2v = 35 + 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. -7 + -2v + -3v = 35 + 3v + -3v Combine like terms: -2v + -3v = -5v -7 + -5v = 35 + 3v + -3v Combine like terms: 3v + -3v = 0 -7 + -5v = 35 + 0 -7 + -5v = 35 Add '7' to each side of the equation. -7 + 7 + -5v = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = 35 + 7 -5v = 35 + 7 Combine like terms: 35 + 7 = 42 -5v = 42 Divide each side by '-5'. v = -8.4 Simplifying v = -8.4
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