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Simplifying -3v + 15 + -2 = -35 + 3v Reorder the terms: 15 + -2 + -3v = -35 + 3v Combine like terms: 15 + -2 = 13 13 + -3v = -35 + 3v Solving 13 + -3v = -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. 13 + -3v + -3v = -35 + 3v + -3v Combine like terms: -3v + -3v = -6v 13 + -6v = -35 + 3v + -3v Combine like terms: 3v + -3v = 0 13 + -6v = -35 + 0 13 + -6v = -35 Add '-13' to each side of the equation. 13 + -13 + -6v = -35 + -13 Combine like terms: 13 + -13 = 0 0 + -6v = -35 + -13 -6v = -35 + -13 Combine like terms: -35 + -13 = -48 -6v = -48 Divide each side by '-6'. v = 8 Simplifying v = 8
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