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Simplifying -9(v + -3) = -5v + 31 Reorder the terms: -9(-3 + v) = -5v + 31 (-3 * -9 + v * -9) = -5v + 31 (27 + -9v) = -5v + 31 Reorder the terms: 27 + -9v = 31 + -5v Solving 27 + -9v = 31 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 27 + -9v + 5v = 31 + -5v + 5v Combine like terms: -9v + 5v = -4v 27 + -4v = 31 + -5v + 5v Combine like terms: -5v + 5v = 0 27 + -4v = 31 + 0 27 + -4v = 31 Add '-27' to each side of the equation. 27 + -27 + -4v = 31 + -27 Combine like terms: 27 + -27 = 0 0 + -4v = 31 + -27 -4v = 31 + -27 Combine like terms: 31 + -27 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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