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Simplifying 2(v + -1) = 5v + 8 + -2(-3v + -1) Reorder the terms: 2(-1 + v) = 5v + 8 + -2(-3v + -1) (-1 * 2 + v * 2) = 5v + 8 + -2(-3v + -1) (-2 + 2v) = 5v + 8 + -2(-3v + -1) Reorder the terms: -2 + 2v = 5v + 8 + -2(-1 + -3v) -2 + 2v = 5v + 8 + (-1 * -2 + -3v * -2) -2 + 2v = 5v + 8 + (2 + 6v) Reorder the terms: -2 + 2v = 8 + 2 + 5v + 6v Combine like terms: 8 + 2 = 10 -2 + 2v = 10 + 5v + 6v Combine like terms: 5v + 6v = 11v -2 + 2v = 10 + 11v Solving -2 + 2v = 10 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -2 + 2v + -11v = 10 + 11v + -11v Combine like terms: 2v + -11v = -9v -2 + -9v = 10 + 11v + -11v Combine like terms: 11v + -11v = 0 -2 + -9v = 10 + 0 -2 + -9v = 10 Add '2' to each side of the equation. -2 + 2 + -9v = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -9v = 10 + 2 -9v = 10 + 2 Combine like terms: 10 + 2 = 12 -9v = 12 Divide each side by '-9'. v = -1.333333333 Simplifying v = -1.333333333
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