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Simplifying 2v + 3 + -2(-4v + -1) = 4(v + -1) Reorder the terms: 2v + 3 + -2(-1 + -4v) = 4(v + -1) 2v + 3 + (-1 * -2 + -4v * -2) = 4(v + -1) 2v + 3 + (2 + 8v) = 4(v + -1) Reorder the terms: 3 + 2 + 2v + 8v = 4(v + -1) Combine like terms: 3 + 2 = 5 5 + 2v + 8v = 4(v + -1) Combine like terms: 2v + 8v = 10v 5 + 10v = 4(v + -1) Reorder the terms: 5 + 10v = 4(-1 + v) 5 + 10v = (-1 * 4 + v * 4) 5 + 10v = (-4 + 4v) Solving 5 + 10v = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 5 + 10v + -4v = -4 + 4v + -4v Combine like terms: 10v + -4v = 6v 5 + 6v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 5 + 6v = -4 + 0 5 + 6v = -4 Add '-5' to each side of the equation. 5 + -5 + 6v = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 6v = -4 + -5 6v = -4 + -5 Combine like terms: -4 + -5 = -9 6v = -9 Divide each side by '6'. v = -1.5 Simplifying v = -1.5
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