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Simplifying 38 = 3(v + 6) + -5v Reorder the terms: 38 = 3(6 + v) + -5v 38 = (6 * 3 + v * 3) + -5v 38 = (18 + 3v) + -5v Combine like terms: 3v + -5v = -2v 38 = 18 + -2v Solving 38 = 18 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 38 + 2v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 38 + 2v = 18 + 0 38 + 2v = 18 Add '-38' to each side of the equation. 38 + -38 + 2v = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 2v = 18 + -38 2v = 18 + -38 Combine like terms: 18 + -38 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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