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Simplifying -5(v + 3) + 2v + 7 = 6v + 9 Reorder the terms: -5(3 + v) + 2v + 7 = 6v + 9 (3 * -5 + v * -5) + 2v + 7 = 6v + 9 (-15 + -5v) + 2v + 7 = 6v + 9 Reorder the terms: -15 + 7 + -5v + 2v = 6v + 9 Combine like terms: -15 + 7 = -8 -8 + -5v + 2v = 6v + 9 Combine like terms: -5v + 2v = -3v -8 + -3v = 6v + 9 Reorder the terms: -8 + -3v = 9 + 6v Solving -8 + -3v = 9 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -8 + -3v + -6v = 9 + 6v + -6v Combine like terms: -3v + -6v = -9v -8 + -9v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -8 + -9v = 9 + 0 -8 + -9v = 9 Add '8' to each side of the equation. -8 + 8 + -9v = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -9v = 9 + 8 -9v = 9 + 8 Combine like terms: 9 + 8 = 17 -9v = 17 Divide each side by '-9'. v = -1.888888889 Simplifying v = -1.888888889
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