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Simplifying 5(v + 1) = -4v + -31 Reorder the terms: 5(1 + v) = -4v + -31 (1 * 5 + v * 5) = -4v + -31 (5 + 5v) = -4v + -31 Reorder the terms: 5 + 5v = -31 + -4v Solving 5 + 5v = -31 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 5 + 5v + 4v = -31 + -4v + 4v Combine like terms: 5v + 4v = 9v 5 + 9v = -31 + -4v + 4v Combine like terms: -4v + 4v = 0 5 + 9v = -31 + 0 5 + 9v = -31 Add '-5' to each side of the equation. 5 + -5 + 9v = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 9v = -31 + -5 9v = -31 + -5 Combine like terms: -31 + -5 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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