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Simplifying 31 = 5(v + 8) + -8v Reorder the terms: 31 = 5(8 + v) + -8v 31 = (8 * 5 + v * 5) + -8v 31 = (40 + 5v) + -8v Combine like terms: 5v + -8v = -3v 31 = 40 + -3v Solving 31 = 40 + -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. 31 + 3v = 40 + -3v + 3v Combine like terms: -3v + 3v = 0 31 + 3v = 40 + 0 31 + 3v = 40 Add '-31' to each side of the equation. 31 + -31 + 3v = 40 + -31 Combine like terms: 31 + -31 = 0 0 + 3v = 40 + -31 3v = 40 + -31 Combine like terms: 40 + -31 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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