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Simplifying -27 = 5(v + -7) + -3v Reorder the terms: -27 = 5(-7 + v) + -3v -27 = (-7 * 5 + v * 5) + -3v -27 = (-35 + 5v) + -3v Combine like terms: 5v + -3v = 2v -27 = -35 + 2v Solving -27 = -35 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -27 + -2v = -35 + 2v + -2v Combine like terms: 2v + -2v = 0 -27 + -2v = -35 + 0 -27 + -2v = -35 Add '27' to each side of the equation. -27 + 27 + -2v = -35 + 27 Combine like terms: -27 + 27 = 0 0 + -2v = -35 + 27 -2v = -35 + 27 Combine like terms: -35 + 27 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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