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Simplifying 31 + v = -5(4v + -1) + 5 Reorder the terms: 31 + v = -5(-1 + 4v) + 5 31 + v = (-1 * -5 + 4v * -5) + 5 31 + v = (5 + -20v) + 5 Reorder the terms: 31 + v = 5 + 5 + -20v Combine like terms: 5 + 5 = 10 31 + v = 10 + -20v Solving 31 + v = 10 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 31 + v + 20v = 10 + -20v + 20v Combine like terms: v + 20v = 21v 31 + 21v = 10 + -20v + 20v Combine like terms: -20v + 20v = 0 31 + 21v = 10 + 0 31 + 21v = 10 Add '-31' to each side of the equation. 31 + -31 + 21v = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 21v = 10 + -31 21v = 10 + -31 Combine like terms: 10 + -31 = -21 21v = -21 Divide each side by '21'. v = -1 Simplifying v = -1
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