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Simplifying 8v + 40 = 2(3v + 10) + -2 Reorder the terms: 40 + 8v = 2(3v + 10) + -2 Reorder the terms: 40 + 8v = 2(10 + 3v) + -2 40 + 8v = (10 * 2 + 3v * 2) + -2 40 + 8v = (20 + 6v) + -2 Reorder the terms: 40 + 8v = 20 + -2 + 6v Combine like terms: 20 + -2 = 18 40 + 8v = 18 + 6v Solving 40 + 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. 40 + 8v + -6v = 18 + 6v + -6v Combine like terms: 8v + -6v = 2v 40 + 2v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 40 + 2v = 18 + 0 40 + 2v = 18 Add '-40' to each side of the equation. 40 + -40 + 2v = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 2v = 18 + -40 2v = 18 + -40 Combine like terms: 18 + -40 = -22 2v = -22 Divide each side by '2'. v = -11 Simplifying v = -11
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