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Simplifying 4v + 31 = -3(v + -1) Reorder the terms: 31 + 4v = -3(v + -1) Reorder the terms: 31 + 4v = -3(-1 + v) 31 + 4v = (-1 * -3 + v * -3) 31 + 4v = (3 + -3v) Solving 31 + 4v = 3 + -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 + 4v + 3v = 3 + -3v + 3v Combine like terms: 4v + 3v = 7v 31 + 7v = 3 + -3v + 3v Combine like terms: -3v + 3v = 0 31 + 7v = 3 + 0 31 + 7v = 3 Add '-31' to each side of the equation. 31 + -31 + 7v = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 7v = 3 + -31 7v = 3 + -31 Combine like terms: 3 + -31 = -28 7v = -28 Divide each side by '7'. v = -4 Simplifying v = -4
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