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Simplifying 3(8 + -3v + 1) = 5(-2v + -2) Reorder the terms: 3(8 + 1 + -3v) = 5(-2v + -2) Combine like terms: 8 + 1 = 9 3(9 + -3v) = 5(-2v + -2) (9 * 3 + -3v * 3) = 5(-2v + -2) (27 + -9v) = 5(-2v + -2) Reorder the terms: 27 + -9v = 5(-2 + -2v) 27 + -9v = (-2 * 5 + -2v * 5) 27 + -9v = (-10 + -10v) Solving 27 + -9v = -10 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 27 + -9v + 10v = -10 + -10v + 10v Combine like terms: -9v + 10v = 1v 27 + 1v = -10 + -10v + 10v Combine like terms: -10v + 10v = 0 27 + 1v = -10 + 0 27 + 1v = -10 Add '-27' to each side of the equation. 27 + -27 + 1v = -10 + -27 Combine like terms: 27 + -27 = 0 0 + 1v = -10 + -27 1v = -10 + -27 Combine like terms: -10 + -27 = -37 1v = -37 Divide each side by '1'. v = -37 Simplifying v = -37
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