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Simplifying 3v + 3 + -2(-3v + -3) = 5(v + -1) Reorder the terms: 3v + 3 + -2(-3 + -3v) = 5(v + -1) 3v + 3 + (-3 * -2 + -3v * -2) = 5(v + -1) 3v + 3 + (6 + 6v) = 5(v + -1) Reorder the terms: 3 + 6 + 3v + 6v = 5(v + -1) Combine like terms: 3 + 6 = 9 9 + 3v + 6v = 5(v + -1) Combine like terms: 3v + 6v = 9v 9 + 9v = 5(v + -1) Reorder the terms: 9 + 9v = 5(-1 + v) 9 + 9v = (-1 * 5 + v * 5) 9 + 9v = (-5 + 5v) Solving 9 + 9v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 9 + 9v + -5v = -5 + 5v + -5v Combine like terms: 9v + -5v = 4v 9 + 4v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 9 + 4v = -5 + 0 9 + 4v = -5 Add '-9' to each side of the equation. 9 + -9 + 4v = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = -5 + -9 4v = -5 + -9 Combine like terms: -5 + -9 = -14 4v = -14 Divide each side by '4'. v = -3.5 Simplifying v = -3.5
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