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Simplifying 4v + 3 + -2(-5v + -1) = 2(v + -5) Reorder the terms: 4v + 3 + -2(-1 + -5v) = 2(v + -5) 4v + 3 + (-1 * -2 + -5v * -2) = 2(v + -5) 4v + 3 + (2 + 10v) = 2(v + -5) Reorder the terms: 3 + 2 + 4v + 10v = 2(v + -5) Combine like terms: 3 + 2 = 5 5 + 4v + 10v = 2(v + -5) Combine like terms: 4v + 10v = 14v 5 + 14v = 2(v + -5) Reorder the terms: 5 + 14v = 2(-5 + v) 5 + 14v = (-5 * 2 + v * 2) 5 + 14v = (-10 + 2v) Solving 5 + 14v = -10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 5 + 14v + -2v = -10 + 2v + -2v Combine like terms: 14v + -2v = 12v 5 + 12v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 5 + 12v = -10 + 0 5 + 12v = -10 Add '-5' to each side of the equation. 5 + -5 + 12v = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 12v = -10 + -5 12v = -10 + -5 Combine like terms: -10 + -5 = -15 12v = -15 Divide each side by '12'. v = -1.25 Simplifying v = -1.25
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