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Simplifying 35 = 2(v + -5) + 3v Reorder the terms: 35 = 2(-5 + v) + 3v 35 = (-5 * 2 + v * 2) + 3v 35 = (-10 + 2v) + 3v Combine like terms: 2v + 3v = 5v 35 = -10 + 5v Solving 35 = -10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 35 + -5v = -10 + 5v + -5v Combine like terms: 5v + -5v = 0 35 + -5v = -10 + 0 35 + -5v = -10 Add '-35' to each side of the equation. 35 + -35 + -5v = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -5v = -10 + -35 -5v = -10 + -35 Combine like terms: -10 + -35 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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