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Simplifying 3(v + -5) + -5v = -35 Reorder the terms: 3(-5 + v) + -5v = -35 (-5 * 3 + v * 3) + -5v = -35 (-15 + 3v) + -5v = -35 Combine like terms: 3v + -5v = -2v -15 + -2v = -35 Solving -15 + -2v = -35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2v = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = -35 + 15 -2v = -35 + 15 Combine like terms: -35 + 15 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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