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Simplifying -27 = 3(v + -5) + -7v Reorder the terms: -27 = 3(-5 + v) + -7v -27 = (-5 * 3 + v * 3) + -7v -27 = (-15 + 3v) + -7v Combine like terms: 3v + -7v = -4v -27 = -15 + -4v Solving -27 = -15 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -27 + 4v = -15 + -4v + 4v Combine like terms: -4v + 4v = 0 -27 + 4v = -15 + 0 -27 + 4v = -15 Add '27' to each side of the equation. -27 + 27 + 4v = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 4v = -15 + 27 4v = -15 + 27 Combine like terms: -15 + 27 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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