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Simplifying 27 = 3v + 2(v + -4) Reorder the terms: 27 = 3v + 2(-4 + v) 27 = 3v + (-4 * 2 + v * 2) 27 = 3v + (-8 + 2v) Reorder the terms: 27 = -8 + 3v + 2v Combine like terms: 3v + 2v = 5v 27 = -8 + 5v Solving 27 = -8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 27 + -5v = -8 + 5v + -5v Combine like terms: 5v + -5v = 0 27 + -5v = -8 + 0 27 + -5v = -8 Add '-27' to each side of the equation. 27 + -27 + -5v = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5v = -8 + -27 -5v = -8 + -27 Combine like terms: -8 + -27 = -35 -5v = -35 Divide each side by '-5'. v = 7 Simplifying v = 7
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