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Simplifying 31 = 2(v + 5) + 5v Reorder the terms: 31 = 2(5 + v) + 5v 31 = (5 * 2 + v * 2) + 5v 31 = (10 + 2v) + 5v Combine like terms: 2v + 5v = 7v 31 = 10 + 7v Solving 31 = 10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 31 + -7v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 31 + -7v = 10 + 0 31 + -7v = 10 Add '-31' to each side of the equation. 31 + -31 + -7v = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -7v = 10 + -31 -7v = 10 + -31 Combine like terms: 10 + -31 = -21 -7v = -21 Divide each side by '-7'. v = 3 Simplifying v = 3
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