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Simplifying 27 = 3(v + -4) + -6v Reorder the terms: 27 = 3(-4 + v) + -6v 27 = (-4 * 3 + v * 3) + -6v 27 = (-12 + 3v) + -6v Combine like terms: 3v + -6v = -3v 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 = -39 3v = -39 Divide each side by '3'. v = -13 Simplifying v = -13
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