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Simplifying 5v + 1 + -2(-2v + -6) = 3(v + -1) Reorder the terms: 5v + 1 + -2(-6 + -2v) = 3(v + -1) 5v + 1 + (-6 * -2 + -2v * -2) = 3(v + -1) 5v + 1 + (12 + 4v) = 3(v + -1) Reorder the terms: 1 + 12 + 5v + 4v = 3(v + -1) Combine like terms: 1 + 12 = 13 13 + 5v + 4v = 3(v + -1) Combine like terms: 5v + 4v = 9v 13 + 9v = 3(v + -1) Reorder the terms: 13 + 9v = 3(-1 + v) 13 + 9v = (-1 * 3 + v * 3) 13 + 9v = (-3 + 3v) Solving 13 + 9v = -3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 13 + 9v + -3v = -3 + 3v + -3v Combine like terms: 9v + -3v = 6v 13 + 6v = -3 + 3v + -3v Combine like terms: 3v + -3v = 0 13 + 6v = -3 + 0 13 + 6v = -3 Add '-13' to each side of the equation. 13 + -13 + 6v = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 6v = -3 + -13 6v = -3 + -13 Combine like terms: -3 + -13 = -16 6v = -16 Divide each side by '6'. v = -2.666666667 Simplifying v = -2.666666667
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