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Simplifying -3(v + -9) = -5v + 29 Reorder the terms: -3(-9 + v) = -5v + 29 (-9 * -3 + v * -3) = -5v + 29 (27 + -3v) = -5v + 29 Reorder the terms: 27 + -3v = 29 + -5v Solving 27 + -3v = 29 + -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 + -3v + 5v = 29 + -5v + 5v Combine like terms: -3v + 5v = 2v 27 + 2v = 29 + -5v + 5v Combine like terms: -5v + 5v = 0 27 + 2v = 29 + 0 27 + 2v = 29 Add '-27' to each side of the equation. 27 + -27 + 2v = 29 + -27 Combine like terms: 27 + -27 = 0 0 + 2v = 29 + -27 2v = 29 + -27 Combine like terms: 29 + -27 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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