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Simplifying 6v + -27 = -3(v + -6) Reorder the terms: -27 + 6v = -3(v + -6) Reorder the terms: -27 + 6v = -3(-6 + v) -27 + 6v = (-6 * -3 + v * -3) -27 + 6v = (18 + -3v) Solving -27 + 6v = 18 + -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. -27 + 6v + 3v = 18 + -3v + 3v Combine like terms: 6v + 3v = 9v -27 + 9v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -27 + 9v = 18 + 0 -27 + 9v = 18 Add '27' to each side of the equation. -27 + 27 + 9v = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 9v = 18 + 27 9v = 18 + 27 Combine like terms: 18 + 27 = 45 9v = 45 Divide each side by '9'. v = 5 Simplifying v = 5
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