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Simplifying 4(v + 2) = -4(2v + -1) + 2v Reorder the terms: 4(2 + v) = -4(2v + -1) + 2v (2 * 4 + v * 4) = -4(2v + -1) + 2v (8 + 4v) = -4(2v + -1) + 2v Reorder the terms: 8 + 4v = -4(-1 + 2v) + 2v 8 + 4v = (-1 * -4 + 2v * -4) + 2v 8 + 4v = (4 + -8v) + 2v Combine like terms: -8v + 2v = -6v 8 + 4v = 4 + -6v Solving 8 + 4v = 4 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 8 + 4v + 6v = 4 + -6v + 6v Combine like terms: 4v + 6v = 10v 8 + 10v = 4 + -6v + 6v Combine like terms: -6v + 6v = 0 8 + 10v = 4 + 0 8 + 10v = 4 Add '-8' to each side of the equation. 8 + -8 + 10v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 10v = 4 + -8 10v = 4 + -8 Combine like terms: 4 + -8 = -4 10v = -4 Divide each side by '10'. v = -0.4 Simplifying v = -0.4
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