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Simplifying 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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