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Simplifying 27 = -3(v + -4) Reorder the terms: 27 = -3(-4 + v) 27 = (-4 * -3 + v * -3) 27 = (12 + -3v) Solving 27 = 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 + 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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