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Simplifying -1(7v + 7) = -27 + -3v Reorder the terms: -1(7 + 7v) = -27 + -3v (7 * -1 + 7v * -1) = -27 + -3v (-7 + -7v) = -27 + -3v Solving -7 + -7v = -27 + -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. -7 + -7v + 3v = -27 + -3v + 3v Combine like terms: -7v + 3v = -4v -7 + -4v = -27 + -3v + 3v Combine like terms: -3v + 3v = 0 -7 + -4v = -27 + 0 -7 + -4v = -27 Add '7' to each side of the equation. -7 + 7 + -4v = -27 + 7 Combine like terms: -7 + 7 = 0 0 + -4v = -27 + 7 -4v = -27 + 7 Combine like terms: -27 + 7 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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