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Simplifying 20 + 5v = 3(v + 6) Reorder the terms: 20 + 5v = 3(6 + v) 20 + 5v = (6 * 3 + v * 3) 20 + 5v = (18 + 3v) Solving 20 + 5v = 18 + 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. 20 + 5v + -3v = 18 + 3v + -3v Combine like terms: 5v + -3v = 2v 20 + 2v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 20 + 2v = 18 + 0 20 + 2v = 18 Add '-20' to each side of the equation. 20 + -20 + 2v = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 2v = 18 + -20 2v = 18 + -20 Combine like terms: 18 + -20 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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