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Simplifying 2v + 31 = 7(v + 8) Reorder the terms: 31 + 2v = 7(v + 8) Reorder the terms: 31 + 2v = 7(8 + v) 31 + 2v = (8 * 7 + v * 7) 31 + 2v = (56 + 7v) Solving 31 + 2v = 56 + 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 + 2v + -7v = 56 + 7v + -7v Combine like terms: 2v + -7v = -5v 31 + -5v = 56 + 7v + -7v Combine like terms: 7v + -7v = 0 31 + -5v = 56 + 0 31 + -5v = 56 Add '-31' to each side of the equation. 31 + -31 + -5v = 56 + -31 Combine like terms: 31 + -31 = 0 0 + -5v = 56 + -31 -5v = 56 + -31 Combine like terms: 56 + -31 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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