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Simplifying -35 = -5v + 2(v + -4) Reorder the terms: -35 = -5v + 2(-4 + v) -35 = -5v + (-4 * 2 + v * 2) -35 = -5v + (-8 + 2v) Reorder the terms: -35 = -8 + -5v + 2v Combine like terms: -5v + 2v = -3v -35 = -8 + -3v Solving -35 = -8 + -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. -35 + 3v = -8 + -3v + 3v Combine like terms: -3v + 3v = 0 -35 + 3v = -8 + 0 -35 + 3v = -8 Add '35' to each side of the equation. -35 + 35 + 3v = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 3v = -8 + 35 3v = -8 + 35 Combine like terms: -8 + 35 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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