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Simplifying 8v + 4 + -2(-2v + -5) = 2(v + -2) Reorder the terms: 8v + 4 + -2(-5 + -2v) = 2(v + -2) 8v + 4 + (-5 * -2 + -2v * -2) = 2(v + -2) 8v + 4 + (10 + 4v) = 2(v + -2) Reorder the terms: 4 + 10 + 8v + 4v = 2(v + -2) Combine like terms: 4 + 10 = 14 14 + 8v + 4v = 2(v + -2) Combine like terms: 8v + 4v = 12v 14 + 12v = 2(v + -2) Reorder the terms: 14 + 12v = 2(-2 + v) 14 + 12v = (-2 * 2 + v * 2) 14 + 12v = (-4 + 2v) Solving 14 + 12v = -4 + 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. 14 + 12v + -2v = -4 + 2v + -2v Combine like terms: 12v + -2v = 10v 14 + 10v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 14 + 10v = -4 + 0 14 + 10v = -4 Add '-14' to each side of the equation. 14 + -14 + 10v = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 10v = -4 + -14 10v = -4 + -14 Combine like terms: -4 + -14 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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