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Simplifying 2(v + 9) = -7(3v + -2) + 5v Reorder the terms: 2(9 + v) = -7(3v + -2) + 5v (9 * 2 + v * 2) = -7(3v + -2) + 5v (18 + 2v) = -7(3v + -2) + 5v Reorder the terms: 18 + 2v = -7(-2 + 3v) + 5v 18 + 2v = (-2 * -7 + 3v * -7) + 5v 18 + 2v = (14 + -21v) + 5v Combine like terms: -21v + 5v = -16v 18 + 2v = 14 + -16v Solving 18 + 2v = 14 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 18 + 2v + 16v = 14 + -16v + 16v Combine like terms: 2v + 16v = 18v 18 + 18v = 14 + -16v + 16v Combine like terms: -16v + 16v = 0 18 + 18v = 14 + 0 18 + 18v = 14 Add '-18' to each side of the equation. 18 + -18 + 18v = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 18v = 14 + -18 18v = 14 + -18 Combine like terms: 14 + -18 = -4 18v = -4 Divide each side by '18'. v = -0.2222222222 Simplifying v = -0.2222222222
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