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Simplifying -9(v + -2) = 4v + 31 Reorder the terms: -9(-2 + v) = 4v + 31 (-2 * -9 + v * -9) = 4v + 31 (18 + -9v) = 4v + 31 Reorder the terms: 18 + -9v = 31 + 4v Solving 18 + -9v = 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. 18 + -9v + -4v = 31 + 4v + -4v Combine like terms: -9v + -4v = -13v 18 + -13v = 31 + 4v + -4v Combine like terms: 4v + -4v = 0 18 + -13v = 31 + 0 18 + -13v = 31 Add '-18' to each side of the equation. 18 + -18 + -13v = 31 + -18 Combine like terms: 18 + -18 = 0 0 + -13v = 31 + -18 -13v = 31 + -18 Combine like terms: 31 + -18 = 13 -13v = 13 Divide each side by '-13'. v = -1 Simplifying v = -1
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