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Simplifying 2(v + 2) = -2(5v + -4) + 2v Reorder the terms: 2(2 + v) = -2(5v + -4) + 2v (2 * 2 + v * 2) = -2(5v + -4) + 2v (4 + 2v) = -2(5v + -4) + 2v Reorder the terms: 4 + 2v = -2(-4 + 5v) + 2v 4 + 2v = (-4 * -2 + 5v * -2) + 2v 4 + 2v = (8 + -10v) + 2v Combine like terms: -10v + 2v = -8v 4 + 2v = 8 + -8v Solving 4 + 2v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 4 + 2v + 8v = 8 + -8v + 8v Combine like terms: 2v + 8v = 10v 4 + 10v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 4 + 10v = 8 + 0 4 + 10v = 8 Add '-4' to each side of the equation. 4 + -4 + 10v = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 10v = 8 + -4 10v = 8 + -4 Combine like terms: 8 + -4 = 4 10v = 4 Divide each side by '10'. v = 0.4 Simplifying v = 0.4
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