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Simplifying 8v + 38 = 6(v + 3) Reorder the terms: 38 + 8v = 6(v + 3) Reorder the terms: 38 + 8v = 6(3 + v) 38 + 8v = (3 * 6 + v * 6) 38 + 8v = (18 + 6v) Solving 38 + 8v = 18 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 38 + 8v + -6v = 18 + 6v + -6v Combine like terms: 8v + -6v = 2v 38 + 2v = 18 + 6v + -6v Combine like terms: 6v + -6v = 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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