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Simplifying -9(v + -3) = -5v + 39 Reorder the terms: -9(-3 + v) = -5v + 39 (-3 * -9 + v * -9) = -5v + 39 (27 + -9v) = -5v + 39 Reorder the terms: 27 + -9v = 39 + -5v Solving 27 + -9v = 39 + -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 = 39 + -5v + 5v Combine like terms: -9v + 5v = -4v 27 + -4v = 39 + -5v + 5v Combine like terms: -5v + 5v = 0 27 + -4v = 39 + 0 27 + -4v = 39 Add '-27' to each side of the equation. 27 + -27 + -4v = 39 + -27 Combine like terms: 27 + -27 = 0 0 + -4v = 39 + -27 -4v = 39 + -27 Combine like terms: 39 + -27 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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