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Simplifying -5(v + 2) + 2v + 5 = 6v + 6 Reorder the terms: -5(2 + v) + 2v + 5 = 6v + 6 (2 * -5 + v * -5) + 2v + 5 = 6v + 6 (-10 + -5v) + 2v + 5 = 6v + 6 Reorder the terms: -10 + 5 + -5v + 2v = 6v + 6 Combine like terms: -10 + 5 = -5 -5 + -5v + 2v = 6v + 6 Combine like terms: -5v + 2v = -3v -5 + -3v = 6v + 6 Reorder the terms: -5 + -3v = 6 + 6v Solving -5 + -3v = 6 + 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. -5 + -3v + -6v = 6 + 6v + -6v Combine like terms: -3v + -6v = -9v -5 + -9v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -5 + -9v = 6 + 0 -5 + -9v = 6 Add '5' to each side of the equation. -5 + 5 + -9v = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -9v = 6 + 5 -9v = 6 + 5 Combine like terms: 6 + 5 = 11 -9v = 11 Divide each side by '-9'. v = -1.222222222 Simplifying v = -1.222222222
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