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Simplifying -6v + -27 = -3(v + 4) Reorder the terms: -27 + -6v = -3(v + 4) Reorder the terms: -27 + -6v = -3(4 + v) -27 + -6v = (4 * -3 + v * -3) -27 + -6v = (-12 + -3v) Solving -27 + -6v = -12 + -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 = -12 + -3v + 3v Combine like terms: -6v + 3v = -3v -27 + -3v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 -27 + -3v = -12 + 0 -27 + -3v = -12 Add '27' to each side of the equation. -27 + 27 + -3v = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -3v = -12 + 27 -3v = -12 + 27 Combine like terms: -12 + 27 = 15 -3v = 15 Divide each side by '-3'. v = -5 Simplifying v = -5
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