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Simplifying 27 = 3(v + 4) + 2v Reorder the terms: 27 = 3(4 + v) + 2v 27 = (4 * 3 + v * 3) + 2v 27 = (12 + 3v) + 2v Combine like terms: 3v + 2v = 5v 27 = 12 + 5v Solving 27 = 12 + 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 = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 27 + -5v = 12 + 0 27 + -5v = 12 Add '-27' to each side of the equation. 27 + -27 + -5v = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5v = 12 + -27 -5v = 12 + -27 Combine like terms: 12 + -27 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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